Question

Find (fog)(x).
1 =
x
+
2
g(x) = x² + 6

Answer 1

fog(x)=
`x^2+8`

Explanation:

Here we are given two functions

f(x) = x+2

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

We are required to find fog(x)

fog(x) is a composite function.

fog(x) = f(g(x))

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

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

f(x)= x+2

Hence we replace x in f(x) with
`x^2+6`

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

f(g(x))=
`x^2+8`

Hence

fog(x) =
`x^2+8`)