Question

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

Answer 1

Answer:

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

Step-by-step 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) = $x^2+8$)