Maths-
General
Easy
Question
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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)
The correct answer is: ![left square bracket 1 comma 7 divided by 3 right square bracket](data:image/png;base64,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)
For 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](data:image/png;base64,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)
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell negative 1 less or equal than log subscript 3 invisible function application x less or equal than 1 end cell row cell not stretchy rightwards double arrow 3 to the power of negative 1 end exponent less or equal than x less or equal than 3 end cell end table](data:image/png;base64,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)
![therefore text Domain of end text 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 open square brackets 1 third comma 3 close square brackets text . end text](data:image/png;base64,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)
Related Questions to study
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,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)
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
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The domain of the function
is
The domain of the function
is
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The value of
is
The value of
is
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is equal to
is equal to
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If
, then the value of
depends on
If
, then the value of
depends on
maths-General
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then is equal to
then is equal to
maths-General
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Number of solutions of the equation
is
Number of solutions of the equation
is
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is equal to
is equal to
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is equal to
is equal to
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maths-
If
, then the smallest interval in which θ lies is
If
, then the smallest interval in which θ lies is
maths-General