Question

Find [f/g](x) for the functions provided: ƒ(x) = x + 5, g(x) = x3 + 125

Answer 1

[f/g](x) = 1/(x^2 - 5x + 25); x =/= -5

Explanation:

[f/g](x) =

= f(x)/g(x)

= (x + 5)/(x^3 + 125)

= (x + 5)/[(x + 5)(x^2 - 5x + 25)]

[f/g](x) = 1/(x^2 - 5x + 25); x =/= -5