Which one of the following function has an inverse? f(x) = x^2, g(x) = x^3

opatovaL

opatovaL

Answered question

2021-01-02

Which one of the following function has an inverse?
f(x)=x2,g(x)=x3

Answer & Explanation

berggansS

berggansS

Skilled2021-01-03Added 91 answers

1) For f(x)=x2
F(1)=(1)2=1andf(1)=12=1
x1x2,butf(x1)=f(x2), so the function is not One-to-One, it doesn’t have an inverse.
2) For g(x)=x3
G(1)=(1)3=1andg(1)=13=1
X1x2andg(x1)g(x2), so function is One-to-One, it has an inverse.

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