Question

evaluate the function at the given values of the independent variable and simplify.
$f(x) = \frac{5x^2 - 1}{x^2}$
(a) $f(3)$ (b) $f(-3)$ (c) $f(-x)$
(a) $f(3) = \square$ (type an integer or a fraction. simplify your answer.)
(b) $f(-3) = \square$ (type an integer or a fraction. simplify your answer.)
(c) $f(-x) = \square$ (simplify your answer.)

Explanation:

Step1: Evaluate \( f(3) \)

Substitute \( x = 3 \) into \( f(x)=\frac{5x^{2}-1}{x^{2}} \).

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Step2: Evaluate \( f(-3) \)

Substitute \( x=-3 \) into \( f(x)=\frac{5x^{2}-1}{x^{2}} \).

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Step3: Evaluate \( f(-x) \)

Substitute \( x = -x \) into \( f(x)=\frac{5x^{2}-1}{x^{2}} \).

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Answer:

(a) \(\frac{44}{9}\)
(b) \(\frac{44}{9}\)
(c) \(\frac{5x^{2}-1}{x^{2}}\)