Question

let f(x)=-4x=7 and g(x)= 10x-6. find g(g(x))

Answer 1

find f(g(x))

Answer 2

f(x) = -4x + 7
f(g(x)) = -4(10x-6)+7
=-40x+31

Answer 3

Ok so with these composite functions, we simply are going to substitute the equation g(x) into the x of the f(x) function.

Answer 4

So, go ahead and substitute the function g(x) = 10x - 6 as the "x" in the function f(x).

Answer 5

Also you have the f(x) function written improperly, the double equals signs are confusing, do you mean f(x) = -4x - 7?

Answer 6

ya f(x) = -4x - 7 is right, sorry

Answer 7

Perfect, so show me what f(x) looks like after substituting g(x) into the "x".

Answer 8

-4(10+6)+7 ....?

Answer 9

Ok, sorry, one sec.

Answer 10

Almost right, you forgot the x, so it looks like this,

f(g(x)) -> -4(10x - 6) - 7

Now we just evaluate that function by simplifying it.

Answer 11

thats the part im not getting, the simplify part

Answer 12

Alright, so I'll walk you through it step by step =0)