Question

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

−40x + 24
−40x + 31
−40x + 64
−40x + 70

Answer 1

1. First write the equation for f(x)
f(x) = -4x + 7

2. Replace x with g(x) on both sides:
f(g(x)) = -4(g(x)) + 7

3. On the right side only, replace g(x) with 10x - 6:
f(g(x)) = -4(10x - 6) + 7

4. Next, simplify the right side.

Answer 2

@Player_2 can you do step 4?

Answer 3

i would distube right?

Answer 4

Yes, distribution is necessary to simplify the expression. Go ahead and give it a try, then post your result here.

Answer 5

f(g(x))=-40x+24+7

Answer 6

Add 24 + 7 to finish simplifying.

Answer 7

31

Answer 8

-40x+31

Answer 9

Correct. Great job.

Answer 10

thanks for the help @Hero

Answer 11

yw