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Chapter 3: 310 (page 327)

In the following exercises, evaluate the function:

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

Function:f(x)=-6x-3

Short Answer

Expert verified

a. The value of the function at x=2is -15.

b. The value of the function at x=-1is 3.

c. The value of the function at x=ais -6a-3.

Step by step solution

01

Step 1. Given Information

The given function isf(x)=-6x-3.

02

Step 2. Evaluating the function at x=2.

To evaluate f(2)substitute 2for role="math" x.

role="math" f(2)=-6(2)-3f(2)=-12-3f(2)=-15

Therefore,f(2)=-15.

03

Step 3. Evaluating the function at x=-1.

To evaluate f(-1)substitute -1for role="math" x.

f(-1)=-6(-1)-3f(-1)=6-3f(-1)=3

Therefore,f(-1)=3.

04

Step 4. Evaluating the function at x=a.

To evaluate f(a)substitute afor role="math" x.

f(a)=-6(a)-3f(a)=-6a-3

Therefore,f(a)=-6a-3.

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