Question

Consider the functions f(x) = 16x and g(x) = 1/4√x. What are the functions f(x) and g(x) equal to?

1) f(x) = 16x and g(x) = 1/4√x
2) f(x) = 16x and g(x) = 1/4x
3) f(x) = 16x and g(x) = √x
4) f(x) = 16x and g(x) = 1/4√x

Answer 1

The functions f(x) = 16x and g(x) = 1/4√x are equal to f(x) = 16x and g(x) = 1/4√x respectively.

Step-by-step explanation:

The functions f(x) = 16x and g(x) = 1/4√x are defined as follows:

f(x) = 16x

This is a linear function where the variable x is being multiplied by a constant value of 16. For example, if x = 2, then f(2) = 16(2) = 32.

g(x) = 1/4√x

This is a square root function where the variable x is inside the square root. For example, if x = 9, then g(9) = 1/4√9 = 1/4(3) = 3/4.

Therefore, the correct answer is f(x) = 16x and g(x) = 1/4√x.