Find the requested value

Question

f(x)=2x-5, g(x)=3x²+14x+3 find (f/g)(-5)

Answer 1

Cathryn,

 

[f/g](x) is really f(x) / g(x) = (2x - 5) / (3x2 + 14x + 3)

So when x = -5, the numerator becomes -15  and the denominator becomes +8, and the answer is -15/8.