Question

Help!!! Please!! Ill give out medals!
Evaluate (f*h)(a) and (h*f)(1)
f(x)=3x-1, g(x)=1/x+2, h(x)=square root of 4-x.

Please help!

Answer 1

@wio please help me if you can!

Answer 2

function composition, right?

Answer 3

First find \(f(a)\)

Answer 4

Can you do that?

Answer 5

\[
f(a) = 3a-1
\]

Answer 6

ok im gona go step by step with you. Cause i get the concept but am really confused by this problem inparticular.

Answer 7

\[
h(a) = \sqrt{4-a}
\]\[
f(h(a)) = f(\sqrt{4-a}) = 3\sqrt{4-a}-1
\]

Answer 8

Wait, are you evaluating for f*h. Im sorry. Not sure if you are but its f of h of a. and h of f of 1.

Answer 9

I just did f of h of a

Answer 10

\[
f(1) - 3(1)-1=2
\]\[
h(f(1)) = h(2) = \sqrt{4-2}=\sqrt 2
\]

Answer 11

You can do it.

Answer 12

thanks a lot man! Im trying. Just not having fun with this. Logic on zero sleep, lol.

Answer 13

Hey ummm.. so in the end, i combine rad 2 and the end result of 3 rad 4-a-1?