Question

f(x) = 3x - 7

g(x) = x2 + 3x - 4

6. Find (f ◦ g)(x)

7. Find (g ◦ f(x) how do I do thos?

Answer 1

work from the inside out
\[f\circ g(x)=f(g(x))=f(x^2+3x-4)\] and since
\[f(\heartsuit)=3\heartsuit-7\]you have
\[f(x^2+3x-4)=3(x^2-3x-4)-7\]

Answer 2

clean up with some algebra probably

Answer 3

It's really just multiplication?