How do you find (g/h)(x)(gh)(x) given f(x)=x^2-1 and f(x)=x21andg(x)=2x-3 and andh(x)=1-4x#?

1 Answer
Aug 28, 2016

(g/h)(x)=(x^2-1)/(1-4x), "where," x in RR-{1/4}, or,

x in (-oo,1/4)uu(1/4,oo)

Explanation:

By Defn. (g/h)(x)=g(x)/(h(x)), "where," x in RR-{x in RR | h(x)=0}.

Hence, (g/h)(x)=(x^2-1)/(1-4x), "where," x in RR-{1/4}, or,

x in (-oo,1/4)uu(1/4,oo)