Is it the same function?

Algebra Level 2

Given

f ( x ) = x 2 x f(x)=\dfrac { { x }^{ 2 } }{ x } and g ( x ) = x , g(x)=x,

Is f f the same as g g ?

Yes No

Ronald Chén by Ronald Chén , 32, Guatemala

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2 solutions

Rishu Jaar
Nov 4, 2017

The domain and range of f ( x ) f(x) is R - 0 \text{R - {0}} while the domain and range of g ( x ) g(x) is R \text{R} , hence both functions are different from each other.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Greg Grapsas
May 29, 2019

It is also a different function when x is negative

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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