Question

Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16

Answer 1

Answer:

  $(f\cdot g)(x)=\dfrac{7x-21}{x+4}$

Step-by-step explanation:

$(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}$