Answered: Find g × f when f(x)=1/3x-3 and…

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter10: Systems Of Equations

Section10.CM: Cumulative Review Problem Set

Problem 78CM

See similar textbooks

Related questions

Question

Find g × f when f(x)=1/3x-3 and g(x)=3x+1

Expert Solution

Step 1: Introduction to the Question

Given: The functions $f open parentheses x close parentheses$ and $g open parentheses x close parentheses$ , defined as,

$f left parenthesis x right parenthesis equals fraction numerator 1 over denominator 3 x minus 3 end fraction comma g left parenthesis x right parenthesis equals 3 x plus 1.$

Aim: To determine the product of two functions, i.e., $g cross times f$ .

Definition: The Product of Two Functions:

Given two functions defined as, $f left parenthesis x right parenthesis$ and $g left parenthesis x right parenthesis$ then the product of these two functions is defined by, $left parenthesis f space cross times space g right parenthesis left parenthesis x right parenthesis space equals space f left parenthesis x right parenthesis space cross times space g left parenthesis x right parenthesis$ , where $x$ is in the domain of both $f$ and $g$ .