Multiple Choice Question (MCQ)
If f(x)=x^21 , g(x)=(x1)^{1}, and x {=}\mathllap{/\,}1 , then f(x)g(x) =

×
2x+1

×
x+1

×
x1

×
x^31

×
2x1
If f(x)=x^21 , g(x)=(x1)^{1}, and x {=}\mathllap{/\,}1 , then f(x)g(x) =
2x+1
x+1
x1
x^31
2x1
Factorize the function f(x)
f(x)= x^21 = (x+1)(x1)
So the product of the two functions
f(x)g(x) = (x+1)(x1)\cdotp \dfrac{1}{x1} = x+1