Question

if f(x)=2x, g(x)= 2x-1, and h(x)= square root of x, find (fogoh)(9)

Answer 1

\[h(x)=\sqrt{x}\]
\[h(9)=\sqrt{9}= 3\]

Answer 2

Now you replace x=3 in g(x).
\[g(x)=2x-1\]
\[g(3)= 2(3)-1= 5\]

Answer 3

Finally, replace x=5 in f(x)

\[f(x)=2x\]
\[f(5)= 2(5)= 10\]

Answer 4

oh okay! i see... so do i then multiply them together? or add them?

Answer 5

No. 10 is the answer. Actually, did them separately for you.
Otherwise, it's like this:

\[f(g(h(x)))= 2[2\sqrt{9}-1]\]

Answer 6

But you get the same answer i.e. 10.

Answer 7

oh okay!! thank you so much!!!!

Answer 8

yw! :)