Question

Write a function defined by y = ƒ(x), subject to the condition that the value of ƒ(x) is 16 times the square root of x.

A. ƒ(x) = 16x2
B. ƒ(x) = √ 16x
C. ƒ(x) = (16x)2
D. ƒ(x) = 16√ x

Answer 1

16 times the square root of x:

    16  *           √x                                  so f(x) = 16√x

Answer 2

The value of the function is 16√x .

Functions-

• A relation between a collection of inputs and outputs is known as a function.
• A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
• Each function has a range, codomain, and domain.
• The usual way to refer to a function is as f(x), where x is the input.

What  is the square root?

• The square root is a factor that, when multiplied by itself, equals the original integer.

• For instance, the square roots of 9 are both 3 and -3.

              Given  ,

                              x = 16

         ƒ(x) is 16 times the square root of x.

          so, simply we write

                                16 × √x   =  16√x

  Therefore, The function is 16√x .

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