Question

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

Answer 1

\[\Large\rm f(\color{orangered}{x})=-4(\color{orangered}{x})+7\]We're going to take our g(x) function and stuff it into f.
We'll be replacing all the orange x's with g(x).\[\Large\rm f(\color{orangered}{g(x)})=-4(\color{orangered}{g(x)})+7\]

Answer 2

Let's plug in the g(x) on the right side,\[\Large\rm f(\color{orangered}{g(x)})=-4(\color{orangered}{10x-6})+7\]

Answer 3

Understand how to simplify it from there?

Answer 4

can you keep going so i can see if its right please

Answer 5

is it -40x-4?

Answer 6

Distribute the -4 to each orange term,\[\Large\rm =-40x+24+7\]Then just combine like-terms.

Hmm I'm not sure how you got a -4.
Did you forget to distribute the -4 to the -6 or something maybe?

Answer 7

yes i forgot thank you

Answer 8

ah ok c:

Answer 9

Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x) how bout this ?

Answer 10

Umm so same idea right?
We stuff our entire g(x) into f,\[\Large\rm f(g(x))=9(-x+3)-2\]Don't forget to distribute the 9 to the 3 as well as the -x!