Posted by **Jen** on Friday, September 14, 2007 at 11:37pm.

I need to have some problems checked and I need help with one of them.

Determine which two functions are invereses of each other.

1. f(x)=5x, g(x)=x/5, h(x)=5/x

-I got that f(x) and g(x) are invereses

2. f(x)=x-2/2, g(x)=2x-2, h(x)=x+2/2

- I got that none are invereses.

5. f(x)=x^4 -3, g(x)=4th square root -3, h(x)=x^4 + 3

-I am not too sure how to find the inverse on this one.

- Algebra -
**drwls**, Saturday, September 15, 2007 at 1:14am
1. Correct

2. The inverse of (x-2)/2 is f^-1(x) = 2x -2

f and g are inverse functions

5. If f(x) = y,

x = (y+3)^(1/4)

f^-1(x) = (x+3)^(1/4)

That one has no inverse listed.

If h(x)= x^4 + 3

y = x^4 +3

(y-3)^(1/4) = x

h^-1(x) = (x-3)^(1/4)

This may be the same as g(x), but I think you typed g(x) incorrectly, leaving out an x

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