Question

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

Answer 1

It looks null..

Answer 2

for every x in f(x) replace with the function g(x)

Answer 3

then simplify

Answer 4

-40x - -24 ?

Answer 5

the -40x is correct, but it's not 24

Answer 6

you forgot to add the 7 i guess

Answer 7

f(g(x)) = -4(10x - 6)
Distribute the -4 and you get -40x and -4 x 6 = 24...I don't see understand?

Answer 8

f(x) = -4x + 7
g(x) = 10x - 6

Find f(g(x))

When I evaluate expressions that include multiple parentheses, I look for the first right parenthesis, then I back up to the prior left parenthesis and look at what I see.

The value for g(x) is what we will put into the first term

Change g(x) in your FIND statement to 10x-6

Find f(g(x))
Find f(10x-6)

Don't let the fact that "x" is now equal to 10x-6 confuse you. Where you see

f(x) = -4x + 7

we put the entire (10x-6) where the x is

f(x) = -4(10x-6) +7

-4 * 10x = -40x
-4 * -6 = +24

f(x) = (-___ + ___) + 7

You finish it from here.

Answer 9

f(g(x)) = -4(10x - 6)\(\color{red}{+7}\)

Answer 10

your method is correct but you forgot the 7 as i thought

Answer 11

I'm confused as to what you'd add the 7 to...

Answer 12

f(g(x))= -4(10x - 6)+7. just substitute g(x) value in f(x) expression.

Answer 13

@zimmah

Answer 14

you can add a number only to other numbers, so the 7 is added to the 24 to make 31