Chapter 3: Q. 310 (page 327)

In the following exercises, evaluate the function:
$a . f (2) b . f (- 1) c . f (a)$
Function: $f (x) = - 6 x - 3$

Short Answer

Expert verified

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

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

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

Step by step solution

Step 1. Given Information

The given function is $f (x) = - 6 x - 3 .$

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

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

$f (2) = - 6 (2) - 3 f (2) = - 12 - 3 f (2) = - 15$

Therefore, $f (2) = - 15 .$

Part (b) Step 2. Evaluating the function at x=-1.

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

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

Therefore, $f (- 1) = 3 .$

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

To evaluate $f (a)$ , substitute $a$ for $x .$

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

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

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In the following exercises, evaluate the function:
$a . f (2) b . f (- 1) c . f (a)$
Function: $f (x) = - 6 x - 3$

Short Answer

Step by step solution

Step 1. Given Information

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

Part (b) Step 2. Evaluating the function at x=-1.

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

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In the following exercises, evaluate the function:a.f(2)b.f(-1)c.f(a)Function:f(x)=-6x-3

Short Answer

Step by step solution

Step 1. Given Information

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

Part (b) Step 2. Evaluating the function at x=-1.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

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Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, evaluate the function:
$a . f (2) b . f (- 1) c . f (a)$
Function: $f (x) = - 6 x - 3$