Question

find f(x) and g(x) such that h(x)= (f^o g)(x) h(x)=/8x+12/

Answer 1

\(h(x) = 8x+12\)?

Answer 2

h(x)=/8x+12/

Answer 3

absolute value of 8x+12

Answer 4

oh ok so if we let \(f(x) = |x|\) then we want \((f\cdot g)(x)=f(g(x)) = |g(x)| = |8x+12|\) So what is \(g(x)\) ?

Answer 5

\(\huge |g(x)| = |8x+12|\)

What does \(g(x)\) need to be to make this true @adaobi

Answer 6

h(x)?

Answer 7

I will give you this one so that you see how its done, as its hard to explain without showing you...

\(g(x) = 8x+12\)

Answer 8

/8x+12/= x?

Answer 9

now note:

\(f(x) = |x|\\\color{blue}{g(x) = 8x+12}

\)

so

\((f\cdot g)(x)=f(\color{blue}{g(x)})=|\color{blue}{g(x)}|=|\color{blue}{8x+12}|=h(x)\)

Answer 10

That is it?

Answer 11

yes....

Answer 12

Hmmm, thanks!