Maths-
General
Easy

Question

h left parenthesis x right parenthesis equals 2 to the power of x
The function  is defined above. What is h left parenthesis 5 right parenthesis minus h left parenthesis 3 right parenthesis ?
 

  1. 2
  2. 4
  3. 24
  4. 28

hintHint:

Hint:
  • Simply put the values and get the answer.

The correct answer is: 24


    Explanation:
    • We have given an expression h left parenthesis x right parenthesis equals 2 to the power of x .
    • We have to find the value of h left parenthesis 5 right parenthesis minus h left parenthesis 3 right parenthesis.
    • We will first find the value of h(5) and h(3) individually by putting respective value of x .
    • Then by subtractingwe will get the value of h(4) - h(3).
    Step 1 of 1:
    The given expression ish left parenthesis x right parenthesis equals 2 to the power of x.
    The value of h(5) will be
    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 h left parenthesis 5 right parenthesis equals 2 to the power of 5 end cell row cell h left parenthesis 5 right parenthesis equals 32 end cell end table
    Then, the value of (3)
    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 h left parenthesis 3 right parenthesis equals 2 cubed end cell row cell h left parenthesis 3 right parenthesis equals 8 end cell end table
    Now the value of  h(5) - h(3) will be
    equals h left parenthesis 5 right parenthesis minus h left parenthesis 3 right parenthesis
    = 32 - 8
    = 24
    Hence, Option C is correct.

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