The composition can be written as:
(f o g)(x) = (25/2)*x + 62
We have the two functions:
f(x) = 10x - 28
g(x) = (5/4)*x + 9
And we want to find the composition (f o g), to do this, we just need to evaluate f(x) in g(x), then we will get:
(f o g)(x) = f(g(x)) = 10*g(x) - 28
Now replace g(x) there:
(f o g)(x) = 10*((5/4)*x + 9) - 28
(f o g)(x) = (50/4)*x + 90 - 28
(f o g)(x) = (25/2)*x + 62
Complete question:
" if f(x) = 10x - 28
g(x) = (5/4)*x + 9
Write (f o g) in terms of x".