Question

For the given functions f and g, find the requested composite function value.

f(x) = x - 8
x , g(x) = x2 + 6; Find ( g H f)(-2).

Answer 1

106

Explanation:

Composite function:

A composite function is represented by:

`(g \circ f)(x) = g(f(x))`

In this question:

`f(x) = x - 8`

`g(x) = x^2 + 6`

`(g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6`

Find ( gof)(-2).

When x = -2. So

`(g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106`

The answer is 106.