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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 3: Q.556 (page 365)

Evaluate the function:
a) f (鈭�1)
b) f (2)
c) f (c).
$f (x) = 4 x^{2} - 2 x - 3$

Short Answer

Expert verified

a) $f (- 1) = 3$

b) $f (2) = 9$

c) $f (c) = 4 c^{2} - 2 c - 3$

Step by step solution

01

Step 1. Given Information

Given to evaluate the function $f (x) = 4 x^{2} - 2 x - 3$ for

a) $f (- 1)$

b) $f (2)$

c) $f (c)$

02

Step 2. Calculation

Plugging the values to evaluate the function:

a)

$f (x) = 4 x^{2} - 2 x - 3 f (- 1) = 4 {(- 1)}^{2} - 2 (- 1) - 3 f (- 1) = 4 (1) - 2 (- 1) - 3 f (- 1) = 4 + 2 - 3 f (- 1) = 3$

b)

$f (x) = 4 x^{2} - 2 x - 3 f (2) = 4 {(2)}^{2} - 2 (2) - 3 f (2) = 4 (4) - 2 (2) - 3 f (2) = 16 - 4 - 3 f (2) = 9$

c)

$f (x) = 4 x^{2} - 2 x - 3 f (c) = 4 {(c)}^{2} - 2 (c) - 3 f (c) = 4 c^{2} - 2 c - 3$

03

Step 3. Conclusion

Hence the values of the function are:

a) $f (- 1) = 3$

b) $f (2) = 9$

c) $f (c) = 4 c^{2} - 2 c - 3$

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