Evaluate the function at the given values of the independent variable and simplify. $$ f(x)=\frac{5 x^{2}-1}{x^{2}} $$ $$ \begin{array}{lll} ext { (a) } f(5) & ext { (b) } f(-5) & ext { (c) } f(-x)\end{array} $$

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Evaluate the function at the given values of the independent variable and simplify. $$ f(x)=\frac{5 x^{2}-1}{x^{2}} $$ $$ \begin{array}{lll}	ext { (a) } f(5) & 	ext { (b) } f(-5) & 	ext { (c) } f(-x)\end{array} $$

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Substitute $$ x=5 $$ into the expression $$ \frac{5x^{2}-1}{x^{2}} $$.
Evaluate the expression by following steps:
- step0: Evaluate:
  $$\frac{5x^{2}-1}{x^{2}}$$
- step1: Substitute:
  $$\frac{5	imes 5^{2}-1}{5^{2}}$$
- step2: Calculate:
  $$\frac{5^{3}-1}{5^{2}}$$
- step3: Subtract the numbers:
  $$\frac{124}{5^{2}}$$
- step4: Simplify:
  $$\frac{124}{25}$$
Substitute $$ x=-5 $$ into the expression $$ \frac{5x^{2}-1}{x^{2}} $$.
Evaluate the expression by following steps:
- step0: Evaluate:
  $$\frac{5x^{2}-1}{x^{2}}$$
- step1: Substitute:
  $$\frac{5\left(-5ight)^{2}-1}{\left(-5ight)^{2}}$$
- step2: Multiply the terms:
  $$\frac{5^{3}-1}{\left(-5ight)^{2}}$$
- step3: Subtract the numbers:
  $$\frac{124}{\left(-5ight)^{2}}$$
- step4: Simplify the expression:
  $$\frac{124}{5^{2}}$$
- step5: Simplify:
  $$\frac{124}{25}$$
Substitute $$ x=-x $$ into the expression $$ \frac{5x^{2}-1}{x^{2}} $$.
Evaluate the expression by following steps:
- step0: Evaluate:
  $$\frac{5x^{2}-1}{x^{2}}$$
The function $$ f(x) = \frac{5x^{2}-1}{x^{2}} $$ evaluated at the given values of the independent variable are:

(a) $$ f(5) = \frac{124}{25} $$

(b) $$ f(-5) = \frac{124}{25} $$

(c) $$ f(-x) = \frac{5x^{2}-1}{x^{2}} $$
$$ f(5) = \frac{124}{25} $$, $$ f(-5) = \frac{124}{25} $$, and $$ f(-x) = \frac{5x^{2}-1}{x^{2}} $$.

Evaluate the function at the given values of the independent variable and simplify. \( f(x)=\frac{5 x^{2}-1}{x^{2}} \) \( \begin{array}{lll}\text { (a) } f(5) & \text { (b) } f(-5) & \text { (c) } f(-x)\end{array} \)

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