Question

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

Answer 1

Answer:

The value of (f/g) (8) = -169

Step-by-step explanation:

Step 1: explaining the question

The quotient (f/g) is not defined at values of x ⇒  both the functions must be defined at a point for the combination to be defined.

⇒(f/g)(x) =(f(x)) / (g(x))

If f(x)= 3-2 and g(x)=1/x+5

⇒then according to the preceding formula: (f/g)(x) =(f(x)) / (g(x))

⇒(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)

⇒ we know that f(x) = 3-2x and we know dat f(x) = f(8)

⇒ f(8) = 3-2(8)

f(8) = 3-16 = -13

⇒we know that g(x) = 1/x+5  and g(x) = g(8)

⇒ g(8) = 1/8+5

g(8) =1/13

These 2 equations we will insert in the following : ⇒(f/g)(8) = f(8) / g(8)

⇒ f/g (8) = -13 / (1/13) = -13 * 13/1 = -169

The value of (f/g) (8) = -169