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Chapter 3: Q. 307 (page 327)

In the following exercises, evaluate the function

a.f(2)b.f(-1)c.f(a)

Function:f(x)=5x-3

Short Answer

Expert verified

a. The value of the function, f(x)=5x-3at x=2is7.

b. The value of the function, f(x)=5x-3at x=-1is -8.

c. The value of the function,f(x)=5x-3at x=ais5a-3.

Step by step solution

01

Step 1. Given Information

The given function isf(x)=5x-3.

02

Part (a). Step 1. Evaluating the value of the function at x=2.

To evaluate f(2), substitute 2for x.

f(2)=5(2)-3f(2)=10-3f(2)=7

Therefore,f(2)=7.

03

Part (b) Step 1. Evaluating the function at x=-1. 

To evaluate f(-1),substitute -1for x.

f(-1)=5(-1)-3f(-1)=-5-3f(-1)=-8

Therefore, f(-1)=-8.

04

Part (c) Step 1. Evaluating the function at x=a.

To evaluate f(a),substitute aforx.

f(a)=5(a)-3f(a)=5a-3

Therefore,f(a)=5a-3.

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