Question

if h(x) - (f o g) (x) and h(x) = |9x +10|, find functions f and g

Answer 1

Example:
If we are given h(x)=(2x)^3
we could say the inner function g(x)=2x
and the outer function f(x)=x^3

Answer 2

verifying; h=f(g(x))=f(2x)=(2x)^3

Answer 3

So if have h(x)=|9x+10|
can you identify the outer function?

Answer 4

Would the outer function be 1x in this instance?

Answer 5

what about the | |

Answer 6

\[h(x)=|inside|\]

Answer 7

so the the outside has to be | |

Answer 8

so the outer function f(x)=|x|
The only thing left is to identify the inner function g(x)

Answer 9

With g(x) being 9x+10

Answer 10

yep

Answer 11

Absolute values continue to trip me up. Thank you!

Answer 12

np

Answer 13

and absolute value is just another function