SOLUTION: Determine which two functions are inverses of each other. F(x)=x^(4)-13 G(x)=\root(4)(x-13 ) H(x)=x^(4)+13

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Question 1178863: Determine which two functions are inverses of each other.
F(x)=x^(4)-13 G(x)=\root(4)(x-13 ) H(x)=x^(4)+13
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Determine which two functions are inverses of each other.

f%28x%29=x%5E4-13
inverse:
y=x%5E4-13.........swap variables
x=y%5E4-13
x%2B13=y%5E4
y=root%284%2Cx%2B13%29-> inverse f'%28x%29

g%28x%29=root%284%2C%28x-13+%29%29+
inverse:
y=root%284%2C%28x-13+%29%29+
x=root%284%2C%28y-13+%29%29+
x%5E4=y-13+
y=x%5E4%2B13->-> inverse g'%28x%29

h%28x%29=x%5E4%2B13=> as you can see, h%28x%29 is same as g'%28x%29
so, g%28x%29 is inverse of h%28x%29 and vice versa