Question

(F•g)(x) when f(x) =x^2+5x+4 and g(x)=1/(x+4)

Answer 1

x + 1

Explanation:

f(x) × g(x)

= x² + 5x + 4 ×
`(1)/(x+4)`

=
`(x^2+5x+4)/(x+4)`

factorise the numerator

x² + 5x + 4 = (x + 4)(x + 1) ← in factored form

=
`((x+4)(x+1))/(x+4)`

cancel the factor (x + 4) on the numerator/denominator, leaving

(f · g)(x) = x + 1 ← in simplest form