Find the function composition f@g(x)=f(g(x)) where f(x ) = 8x-18 and g(x) = 1/2x-1 ?

1 Answer
Steve M
Oct 6, 2017

f(g(x)) = 4x-26
g(f(x)) =4x-10

Explanation:

We have:

f(x ) = 8x-18
g(x) = 1/2x-1

And so

f(g(x)) = f(1/2x-1)
" " = 8(1/2x-1)-18
" " = 4x-8-18
" " = 4x-26

And:

g(f(x)) =g(8x-18)
" " = 1/2(8x-18)-1
" " = 4x-9-1
" " = 4x-10

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