PLEASE HELP

Question

PLEASE HELP

clamin · Answer

attachment

kittiwitti1 · Answer

Inverses: switch the variables x and y, solve for y (isolate it). Then you get the resulting inverse function.

clamin · Answer

i did switch em but i dont know how to solve fractions

kittiwitti1 · Answer

Show me where you got stuck, maybe I can help you ☻

clamin · Answer

im solving the letter A and I dont know how to solve it with the radical

kittiwitti1 · Answer

Did you solve for the inverse of f(x) or the inverse of g(x)? The second one is harder.

clamin · Answer

im stuck on the first one

kittiwitti1 · Answer

Inverse of f(x)$$y=3x^{3}+15\rightarrow x=3y^{3}+15$$$$x-15=3y^{3}\rightarrow \frac{x-15}{3}=y^{3}$$$$y=\sqrt[3]{\frac{x-15}{3}}$$Yeah... I don't think A works out.
I'm asking if you solved for the inverse of f(x), or solved for the inverse of g(x)

kittiwitti1 · Answer

http://www.wolframalpha.com/input/?i=inverse+3x%5E3%2B15 Seems like it's wrong

clamin · Answer

ohh i thought you have to solve it like this $$f(g(x))$$

kittiwitti1 · Answer

That's a composition function (f ○ g)(x) lol

clamin · Answer

ohh thats why i was strugglinf

kittiwitti1 · Answer

Do you get what I was doing, though?

clamin · Answer

so i have to solve for both f(x) and g(x) and they have to end the same answer??

clamin · Answer

i dont get it

kittiwitti1 · Answer

Wait... I think I'm messing up here. Hold on

kittiwitti1 · Answer

Okay yeah. You were doing it right. You just have to make sure (f○g)(x) and (g○f)(x) are equal. SOURCE http://www.coolmath.com/algebra/16-inverse-functions/04-how-to-tell-if-two-functions-are-inverses-01

clamin · Answer

its 1am here and i need to go