Question

.

Answer 1

find f(-3) first

Answer 2

f(x)=2x
so
f(-3)=2(-3)=?

Answer 3

-6?

Answer 4

ok so we are asked to find

Answer 5

we just found the inside part

Answer 6

now we have to find g(-6) and we are done

Answer 7

g(x)=x^2+4
so g(-6)=?

Answer 8

i dont know

Answer 9

do you know how to replace the x's in g(x)=x^2+4 with 6's ?

Answer 10

-6's*

Answer 11

because we are needing to find g(-6)

Answer 12

-32?

Answer 13

g(x)=x^2+4
g(-6)=(-6)^2+4
g(-6)=36+4=?

Answer 14

40

Answer 15

yes g(f(-3))=g(-6)=40

Answer 16

\[g(f(x))=g(2x)=(2x)^2+4 =2^2 x^2+4 =4x^2+4 \\ g(f(-3))=4(-3)^2+4=4(9)+4=36+4=40\]