Maths-
General
Easy
Question
The domain of the function ![f left parenthesis x right parenthesis equals log subscript e invisible function application left parenthesis x minus left square bracket x right square bracket right parenthesis text is end text](data:image/png;base64,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)
The correct answer is: ![R minus Z](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAANCAYAAADbnyzoAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAPRJREFUeNpjYMAEP4D4PxA/BeKTQLwNiEUZqA+YgPgX1C5s+BdUDQpQAeILaGKtQNzFQF9QCcQl2CQCgHgpmlg4EM+no+NA9k3BJVmPxeWNQFxAJ8fZA/E6fApWAbEfEp8PiG8AsTgdHKcBTe8c+BTdAmJJIGYBYg8gPgfEoXRwHCgADhPKjKAc8wctJ9kSMPg/EZgQ4AHiHUCsREihORDvR+Jb0iH3ggJlExBbE6M4Ektu3Q3E8jR04HxoyUEUmATEaWhioFBcSCPH1QJxESkaQNnbC4v4XiDWorLj4qEBQhJ4hyOLW0KzPzXBBwIZi41hqAAAz+M+CS5xng8AAABkdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlI8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPlo8L21pPjwvbWF0aD6R0DwJAAAAAElFTkSuQmCC)
Given
![f left parenthesis x right parenthesis equals log subscript e invisible function application left parenthesis x minus left square bracket x right square bracket right parenthesis equals log subscript e invisible function application left curly bracket x right curly bracket](data:image/png;base64,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)
When X is an integer, then the function is not defined.
Domain of the function ![R minus Z](data:image/png;base64,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)
Related Questions to study
maths-
If
, and the period of
is
, then n is equal to
If
, and the period of
is
, then n is equal to
maths-General
maths-
Domain of definition of the function ![f left parenthesis x right parenthesis equals fraction numerator 3 over denominator 4 minus x squared end fraction plus log subscript 10 invisible function application open parentheses x cubed minus x close parentheses comma text is end text](data:image/png;base64,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)
Domain of definition of the function ![f left parenthesis x right parenthesis equals fraction numerator 3 over denominator 4 minus x squared end fraction plus log subscript 10 invisible function application open parentheses x cubed minus x close parentheses comma text is end text](data:image/png;base64,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)
maths-General
maths-
maths-General
maths-
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
maths-General
maths-
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
maths-General
maths-
The domain of ![sin to the power of negative 1 end exponent invisible function application open parentheses log subscript 3 invisible function application x close parentheses text is end text](data:image/png;base64,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)
The domain of ![sin to the power of negative 1 end exponent invisible function application open parentheses log subscript 3 invisible function application x close parentheses text is end text](data:image/png;base64,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)
maths-General
maths-
The domain of the function ![f left parenthesis x right parenthesis equals log subscript 3 plus x end subscript invisible function application open parentheses x squared minus 1 close parentheses text is end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALEAAAAVCAYAAAAJpA89AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAA7lJREFUeNrtWkFkXEEYflatqiqxKqqqVK2oWCEqIlYvURUrKvSQQw8Rqioqt+qheogSOURFbznkEJVLRa2qUlWxIsKKqIhecugheig59BArwvb/9Vv7+sy8mffe7Lxp9n18kn3vzZj3/f/88/8zz/MynEU0wRPiJvFmJkmG/xU54hPiTiZFGyzIfMQ282iXwY7eIjRSGn+qtucZ3Bu4ViJuxexvE+0z6COJ3n7cIW6k+B6p2P4e8QjcI57zDWYgZp+DxFoH87+ziCR6t3AF/dzo4DiLxBfE3YS2N2ZHdthDn3i38HcAYiRBDS+UObEaJvRm5/oAR+4kVomPFHbQsb0xO04Q1wTXF4gzCft+aii/6wYnTqo3O+5H4iWLY26mYHshXhKfCa5/IpYF16clg5vDPT+GiV8siVch7nt/t5j477ikLY+pjsLngDjlyKRIqjc7cJ/lMYfppmP7YHtOgb4Sj732lqES676HmZO+e7+JeUm7nUARyI7wRvBcHv3IXkBF3ZcfgkP243c/fg8HnuvD9bJPtLeOOHFSvaPoZ8OJw2wva18PCT6h+E68Jrh+qigEF/H/qGLGnVgQ7x0icTAyvw9cW0Eu52J6YkpvVyKxju2D7TkC90QdRA4No4rK+IytHK5QCyk7sSiKiSLBL4lIrjtxFL119Yu7CnbSie+juJ2M8jJDyEGiLm+MWQyyFHNJMZlONDVFbDpcKJrQ26VIHCedYFwkLqOuKeoMYhJLrGzmj0jujWAJX1TMGluFnW4kPsbqozMpWt8hcOS7a8EhTOjtkhPHKez8eO5pHp0vSXLEsC0fLoaqxAuYNfWQ5W0G/djIiccFS9O6YAcgWOz1KMTkYvCHgaVVBRN6u+TEOrZvKlJdrVSUjTwmuSfafL+MrZxCoIBalfRh67DjNnYdWgc1JfwORrYxjKkXInHBtO2Ff2fAzx0ZcuKaLx3IYVJdN6i3S06c9LBjOiTV/QdsnPMh97d8oufh9FcFz63BIfywfexcwU4Lz949RGKZOId4bhsTQJa7FbCVNWXIiSte+2CJU4MJg3rbdt6w+iXusXOrr1NMXuXJI8/yn4pnuuEDoF5J7tYS9GHMKl+GXRRpy4b1dglWbP8aUUvnWPCxF/34cCEk104bVURfDzO9GhJp+Qj3lea76ObES9A+b1Bvl2DN9oOCpaxb8ID4zWsfO89qtGkYcuJRpAL7WAkzZLCCMnYEkjoxn4puYIeBPxqfy6TNYKNwaQR2EOIij0Kn6Pt9AIfOEAN/ALIYMy4ajBSMAAABTnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5mPC9taT48bW8+KDwvbW8+PG1pPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1zdWI+PG1pPmxvZzwvbWk+PG1yb3c+PG1uPjM8L21uPjxtbz4rPC9tbz48bWk+eDwvbWk+PC9tcm93PjwvbXN1Yj48bW8+JiN4MjA2MTs8L21vPjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjE8L21uPjwvbXJvdz48L21mZW5jZWQ+PG10ZXh0PiYjeEEwO2lzJiN4QTA7PC9tdGV4dD48L21hdGg+mfM1NwAAAABJRU5ErkJggg==)
The domain of the function ![f left parenthesis x right parenthesis equals log subscript 3 plus x end subscript invisible function application open parentheses x squared minus 1 close parentheses text is end text](data:image/png;base64,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)
maths-General
Maths-
If
, then
is
Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables. A constant function has zero derivatives. For instance, f'(x) = 0 if f(x) = 8. So the derivative function is odd.
If
, then
is
Maths-General
Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables. A constant function has zero derivatives. For instance, f'(x) = 0 if f(x) = 8. So the derivative function is odd.
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The domain of the function
is
The domain of the function
is
maths-General
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maths-General
maths-
The domain of the function
is
The domain of the function
is
maths-General
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The value of
is
The value of
is
maths-General
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is equal to
is equal to
maths-General
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If
, then the value of
depends on
If
, then the value of
depends on
maths-General
maths-
then is equal to
then is equal to
maths-General