katiebigwoodd
contestada

Given f(x) = x^2 - 1 and g(x) = 5x^2+2, find (f/g)(2)

can someone help me figure out how to do this? i need to show work (the “^2” means it’s squared by the way)

Respuesta :

Happil

Evaluating Quotients of Two Functions

Answer:

[tex]\frac{f}{g}(2) = \frac{2}{11}\\[/tex]

Step-by-step explanation:

[tex]\frac{f}{g}(2) = \frac{f(2)}{g(2)} \\ \frac{f}{g}(2) = \frac{(2)^2}{5(2)^2 +2} \\ \frac{f}{g}(2) = \frac{4}{5(4) +2} \\ \frac{f}{g}(2) = \frac{4}{20 +2} \\ \frac{f}{g}(2) = \frac{4}{22} \\ \frac{f}{g}(2) = \frac{2}{11}[/tex]