Answer:
The correct solution is f + goh = x² + 6x +1
Step-by-step explanation:
f (x) = x^2
g(x) = 3x + 1
h(x) = 2x
We are to look for f + (goh)
First we need to get the composite function goh
goh = g(h(x))
g(h(x)) = g(2x)
To get g(2x) we will substitute x in g(x) as 2x as shown below:
Given g(x) = 3x+1
g(2x) = 3(2x)+1
g(2x) = 6x+1
f + goh = x² + (6x +1)
f + goh = x² + 6x +1
Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.
The correct solution is f + goh = x² + 6x +1
