Solve f(x)=(9x^2-25)/(9x^2+25) , f(1)

$f (x) = \frac{9 x^{2} - 25}{9 x^{2} + 25}$ , $f (1)$

Replace the variable $x$ with $1$ in the expression.

$f (1) = \frac{9 {(1)}^{2} - 25}{9 {(1)}^{2} + 25}$

Simplify $\frac{9 {(1)}^{2} - 25}{9 {(1)}^{2} + 25}$ .

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Remove parentheses.

$\frac{9 {(1)}^{2} - 25}{9 {(1)}^{2} + 25}$

Simplify the numerator.

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One to any power is one.

$\frac{9 \cdot 1 - 25}{9 {(1)}^{2} + 25}$

Multiply $9$ by $1$ .

$\frac{9 - 25}{9 {(1)}^{2} + 25}$

Subtract $25$ from $9$ .

$\frac{- 16}{9 {(1)}^{2} + 25}$

Simplify the denominator.

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One to any power is one.

$\frac{- 16}{9 \cdot 1 + 25}$

Multiply $9$ by $1$ .

$\frac{- 16}{9 + 25}$

Add $9$ and $25$ .

$\frac{- 16}{34}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor of $- 16$ and $34$ .

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Factor $2$ out of $- 16$ .

$\frac{2 (- 8)}{34}$

Cancel the common factors.

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Factor $2$ out of $34$ .

$\frac{2 \cdot - 8}{2 \cdot 17}$

Cancel the common factor.

$\frac{2 \cdot - 8}{2 \cdot 17}$

Rewrite the expression.

$\frac{- 8}{17}$

Move the negative in front of the fraction.

$- \frac{8}{17}$

Solve f(x)=(9x^2-25)/(9x^2+25) , f(1)

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