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Chapter 3: Q. 14 (page 176)

If fx=3x+5andg(x)=2x+1

(a)Solvef(x)=g(x)(b)Solvef(x)>g(x)

Short Answer

Expert verified

Part (a). The value of x=-4.

Part (b). The value of x>-4.

Step by step solution

01

Step 1. Given information.

The given function aref(x)=3x+5andg(x)=2x+1.

02

Part (a) Step 1. Solve for f(x)=g(x).

f(x)=g(x)3x+5=2x+13x-2x=1-5x=-4

So, when x=-4the value of f(x)andg(x)are the same.

Check:

f(-4)=3路-4+5=-7g(-4)=2路(-4)+1=-7

03

Part (b) Step 1. Solve f(x)>g(x).

f(x)>g(x)3x+5>2x+13x-2x>1-5x>-4

So, when the value of the x>-4then the values of the f(x)are greater than the values ofg(x).

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