Question

If h(x)=(f o g)(x) and h(x)= 4sqrt x+7, find g(x) if f(x)= 4sqrt x+1

plz help. I dont know how to start it

Answer 1

\[\text {Is }h(x) = 4\sqrt{x + 7} \text{and }f(x) = 4\sqrt{x + 1}?\]

Answer 2

Is that what you meant?

Answer 3

no hold ona sec

Answer 4

Ok.
h(x) = f(g(x))
\[\sqrt[4]{x + 7} = \sqrt[4]{g(x) + 1}\]\[(\sqrt[4]{x + 7})^{4} = (\sqrt[4]{g(x) + 1})^{4}\]\[x + 7 = g(x) + 1\]\[g(x) = x + 6\]

Answer 5

so u simplfy them an then...

Answer 6

That's it. That's what g(x) is.

Answer 7

so now u do \[\sqrt[4]{x+1}\]*x=6?

Answer 8

Reread what the problem says. It doesn't say to solve for x.

Answer 9

oh nooo solve for g(x) and that x+6 sorry -_-

Answer 10

lol. It's ok :)

Answer 11

so x+6 is the answer

Answer 12

Yup.
g(x) = x + 6

Answer 13

thank u :)

Answer 14

np :)