Question

f (x) = 3x - 7 and g(x) = -2x -6. find (f o g)(4)

Answer 1

please explain thank you

Answer 2

f(g(x))

Answer 3

g(x) = -2x-6

f(x), where x = g(x)

3(-2x-6)-7

Answer 4

so when after I so that, I multiply it by 4

Answer 5

let x = 4

Answer 6

If I'm reading it right

Answer 7

so it would be 3(-2(4) - 6) -7?

Answer 8

yes

Answer 9

Composition of functions: Write down the outside function, but where there is an x put ()'s. Inside the parenthesis write the inside function. For example:
\[f(g(x))=3(-2x-6) -7=-6x-18-7=-6x-25\]
Now substitute the 4 in for x

Answer 10

ok so if I subsitute 4 into that equation \[f(g(x))=3(-2x-6) -7=-6x-18-7=-6x-25\] that would be my given answer?