Question

9. Given f(x) = 7x2 and g(x) = x +1,
find f(g(x)). SHOW ALL WORK.

Answer 1

f(g(x)) simply means g(x) is substituted for x in f(x)=7x^2

Since g(x)=x+1, then f(x)=7(x+1)^2

f(x)=7(x^2+2x+1)

f(x)=7x^2+14x+7

So f(g(x))=7x^2+14x+7

Answer 2

I hope this helps you

f(g(x)) =f(x+1)=7(x+1)^2

f(x+1)=7.(x^2+2x+1)

f(x+1)=7x^2+14x+7