Q:

If f(x)= 3-2 and g(x)=1/x+5 what is the vue of (f/g) (8)

Accepted Solution

A:
Answer:The value of (f/g) (8) = -169Step-by-step explanation:Step 1: explaining the questionThe quotient (f/g) is not defined at values of x β‡’ Β both the functions must be defined at a point for the combination to be defined.β‡’(f/g)(x) =(f(x)) / (g(x))If f(x)= 3-2 and g(x)=1/x+5 β‡’then according to the preceding formula: (f/g)(x) =(f(x)) / (g(x))β‡’(f/g)(8) = f(8) / g(8)to solve this we have to find the value of both f(8) and g(8)Step 2: find value of f(8) and g(8)β‡’ we know that f(x) = 3-2x and we know dat f(x) = f(8)β‡’ f(8) = 3-2(8) f(8) = 3-16 = -13β‡’we know that g(x) = 1/x+5 Β and g(x) = g(8)β‡’ g(8) = 1/8+5 g(8) =1/13These 2 equations we will insert in the following : β‡’(f/g)(8) = f(8) / g(8)β‡’ f/g (8) = -13 / (1/13) = -13 * 13/1 = -169The value of (f/g) (8) = -169