Chapter 5: Q. 513 (page 564)

For the function $f (x) = 6 x^{2} - 3 x - 9$ find
(a) $f (3)$
(b) $f (- 2)$
(c) $f (0)$

Short Answer

Expert verified

The required values are:

(a) $f (3) = 36$

(b) $f (- 2) = 21$

Step by step solution

Step 1. Given Information

The given function is $f (x) = 6 x^{2} - 3 x - 9$ .

Part (a) Step 1. Find the Value of Function at x=3

Substitute $x = 3$ in $f (x) = 6 x^{2} - 3 x - 9$ and solve.

$\begin{array}{rcl} f (3) & = & 6 {(3)}^{2} - 3 (3) - 9 \\ = & 54 - 9 - 9 \\ = & 36 \end{array}$

So, the value of function at $x = 3$ is 36.

Part (b) Step 1. Given Information

The given function is $f (x) = 6 x^{2} - 3 x - 9$ .

Part(b) Step 2. Find the value of Function at

Substitute $x = - 2$ in $f (x) = 6 x^{2} - 3 x - 9$ and solve.

$\begin{array}{rcl} f (- 2) & = & 6 {(- 2)}^{2} - 3 (- 2) - 9 \\ = & 24 + 6 - 9 \\ = & 21 \end{array}$
So, the value of function at $x = - 2$ is 21.

Part (c) Step 1. Given Information

The given function is $f (x) = 6 x^{2} - 3 x - 9$ .

Part (c) Step 2. Find the value of the Function at x=0

Substitute $x = 0$ in $f (x) = 6 x^{2} - 3 x - 9$ and solve.

$\begin{array}{rcl} f (0) & = & 6 {(0)}^{2} - 3 (0) - 9 \\ = & - 9 \end{array}$

So, the value of the function at $x = 0$ is $- 9$ .

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For the function $f (x) = 6 x^{2} - 3 x - 9$ find
(a) $f (3)$
(b) $f (- 2)$
(c) $f (0)$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Find the Value of Function at x=3

Part (b) Step 1. Given Information

Part(b) Step 2. Find the value of Function at

Part (c) Step 1. Given Information

Part (c) Step 2. Find the value of the Function at x=0

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For the function fx=6x2-3x-9find(a) f3(b)f-2(c)f(0)

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Find the Value of Function at x=3

Part (b) Step 1. Given Information

Part(b) Step 2. Find the value of Function at

Part (c) Step 1. Given Information

Part (c) Step 2. Find the value of the Function at x=0

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

For the function $f (x) = 6 x^{2} - 3 x - 9$ find
(a) $f (3)$
(b) $f (- 2)$
(c) $f (0)$