Question

using f(x)=x-2 and g(x)=5x+3 find f(g(x+2))
a. 5x+11
b. 5x+13
c.5x+5
d. -5x - 11
I think it's c, but i'm not really sure on how to solve this problem.

Answer 1

easiest to work step by step

Answer 2

g(x)=5x+3
g(x+2)=5(x+2)+3

Answer 3

\[g(x)=5x+3\]
\[g(x+2)=5((x+2)+3=5x+10+3=5x+13\]

Answer 4

see how the change in f(x) changes the x in the function?

Answer 5

I get it!

Answer 6

It's like saying I replaced x with x+2 so I have to do the same in the function replace it....

for the second part you replace x with g(x+2)
so replace x in f(x) with g(x+2) and everything else on the function as well.