Question

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Answer 1

f(g(x)) = 2(g(x)) - 8
g(f(x)) = -5(f(x)) - 10
Can you do it now?

Answer 2

kind of confused

Answer 3

f(g(x)) is similar to f(x)..the difference is x is replaced by g(x)..So, in the function f(x) = 2x-8, remove x and put g(x)...

Answer 4

f(g(x)=2g(x)-8?

Answer 5

right...

Answer 6

Now g(x) = -5x-10...So, put it there

Answer 7

g(x)=-5(g(x)-10

Answer 8

No...
f(g(x)) = 2g(x)-8 = 2(-5x-10) - 8 = -10x-20-8 = -10x-28

Answer 9

got it now?

Answer 10

so thats the whole answer?

Answer 11

yea..

Answer 12

Do similarly in the second part...what do you get g(f(x)) ?

Answer 13

g(f(x)) 2(fx)-8 ..?

Answer 14

No,
g(x) = -5x-10
g[f(x)] = -5[f(x)] - 10

Answer 15

Another example:
if h(x) = 3x
then, h[f(x)] = 3f(x)

Answer 16

still confused??

Answer 17

1. -10x-28
2. -10x+30