If h(x) = 5x - 3 and j(x) = -2x, solve h[j(2)] and select the correct answer below.
17, 23, -17, -23

Solution:

A function that depends on any other function is called a composite function.

A composite function is created by composing one function within another function.

Given,

h(x) = 5x - 3 and j(x) = -2x

We have to find h [j(2)]

h [j(x)] = h[-2x]

Substituting it in the formula we get

h [j(x)] = 5(-2x) -3

By further calculation

h [j(x)] = -10x -3

We know that

h [j(2)] = -10(2) -3 = -23

Therefore, the value of h [j(2)] is -23.

If h(x) = 5x - 3 and j(x) = -2x, solve h[j(2)] and select the correct answer below.
17, 23, -17, -23

Summary:

If h(x) = 5x - 3 and j(x) = -2x, the value of h[j(2)] is -23. A function that depends on any other function is called a composite function.