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

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: \(\frac{5\times 5^{2}-1}{5^{2}}\) - 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: \(\frac{5\left(-5\right)^{2}-1}{\left(-5\right)^{2}}\) - step2: Multiply the terms: \(\frac{5^{3}-1}{\left(-5\right)^{2}}\) - step3: Subtract the numbers: \(\frac{124}{\left(-5\right)^{2}}\) - 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) \( f(-x) = \frac{5x^{2}-1}{x^{2}} \)