F(x)=7/x find f(x)-f(a)/x-a

Question

Calculus 1 question about diffence quotient

Answer 1

f(x) = 7/x

[f(x) - f(a)] / (x - a) = [7/x - 7/a] / (x - a)

= [(7a - 7x) / (ax)] / (x - a)

= -7(x - a) / [ax(x - a)] = -7 / (ax)