Wednesday

August 27, 2014

August 27, 2014

Posted by **Emily** on Saturday, October 24, 2009 at 8:42pm.

I know you solve it with composite functions f(g(x)) and g(f(x)), and I solved f(g(x)), but I can't seem to solve g(f(x)) to equal x, like it should. Can someone show me how to solve this? Thanks :)

- Math Analysis -
**Emily**, Saturday, October 24, 2009 at 8:43pmThe 4 in front of the sqrt is like the 4th root, like 3sqrt(... is the cubed root, etc.

- Math Analysis -
**jim**, Saturday, October 24, 2009 at 9:08pmYou probably took a wrong turn in what was included inside the fourth root. Easy turn to miss. :-)

f(x)=(3/4)x^4

g(x)= ((108((3/4)x^4 + 2)-216)^(1/4))/3

= ((81x^4 + 216 -216)^1/4) /3

= ((81x^4)^1/4) /3

= 81^(1/4)x^(1/4) /3

= 3 x / 3

= x

- Math Analysis -
**Emily**, Saturday, October 24, 2009 at 9:44pmOhhhhh, I think I get it now. Thanks jim! :D :D

**Related Questions**

functions - For each problem, construct two composite functions, . Evaluate each...

math- precalculus - Help please! I can't seem to get x as the answer to prove ...

Math - Inverse Functions - Find the inverses of the following functions. y = 3(x...

algebra functions - can someone help me with this and explain it to me step by ...

Composite Functions - Find the composite functions for the given functions. (6 ...

algebra functions - construct two composite functions, Evaluate each composite ...

algebra functions - can someone please check my answer For each problem, ...

algebra functions check my answer - For each problem, construct two composite ...

math - how to you find a composite function form of y in this problem? y = 1/[(x...

Math ( composite functions ) - I need some help with composite functions where ...