If f(x)= x^2 - 1 and g(x)=x+1, when x not =-1, find f(x)/g(x)=?

1 Answer
Jim G.
Mar 13, 2018

#(f(x))/(g(x))=x-1#

Explanation:

#(f(x))/(g(x))=(x^2-1)/(x+1)to(x!=-1)#

#"note that "(x^2-1)" is a "color(blue)"difference of squares"#

#•color(white)(x)a^2-b^2=(a-b)(a+b)#

#rArrx^2-1=(x-1)(x+1)#

#rArr(x^2-1)/(x+1)#

#=((x-1)cancel((x+1)))/cancel((x+1))=x-1#

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