If f(x) = 3 - 2x and g(x) = (1/x) + 5, what is value of (f/g)(8)?

Solution:

A function is defined as a relationship between one variable (the independent variable) and another variable (the dependent variable).

Algebra of functions means the operations of the functions, specifically the arithmetic operations.

 Algebra of functions mainly deals with the following four arithmetic operations of functions:

• Addition of functions
• Subtraction of functions
• Multiplication of functions
• Division of functions

(f/g)(x) = f(x)/g(x)

(f/g)(8) = f(8)/g(8)

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

= f(8)/g(8)

= [3 - (2 × 8)] / [(1/8) + 5]

= -13/(41/8)

= -104/41

If f(x) = 3 - 2x and g(x) = (1/x) + 5, what is value of (f/g)(8)?

Summary:

If f(x) = 3 - 2x and g(x) = (1/x) + 5, the value of (f/g)(8) is -104/41.