Multiple Choice Question (MCQ)
If f(x)=x^2-1 , g(x)=(x-1)^{-1}, and x {=}\mathllap{/\,}1 , then f(x)g(x) =
-
×
2x+1
-
×
x+1
-
×
x-1
-
×
x^3-1
-
×
2x-1
If f(x)=x^2-1 , g(x)=(x-1)^{-1}, and x {=}\mathllap{/\,}1 , then f(x)g(x) =
2x+1
x+1
x-1
x^3-1
2x-1
Factorize the function f(x)
f(x)= x^2-1 = (x+1)(x-1)
So the product of the two functions
f(x)g(x) = (x+1)(x-1)\cdotp \dfrac{1}{x-1} = x+1