Question

Given that f(x) = 2x + 1 and g(x) = 3x -1 divided by 2, solve for g(f(3)).

Answer 1

Start from the inside and work your way out

So you need to evaluate f(3) first

Answer 2

f(3) = 7?

Answer 3

good

Answer 4

In the f function, replace the x with a 3. Solve this: f(3) = 2(3) + 1. Yes it's 7. Now plug that 7 into the g function wherever you see an x.

Answer 5

since f(3) = 7, we can replace "f(3)" with 7

so we go from g(f(3)) to g(7)

Answer 6

20 divided by 2? so 10?

Answer 7

you nailed it