Trigonometry Examples

$f (1) = \frac{14 x^{2}}{x^{4} + 49}$

Step 1

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

$f (1) = \frac{14 {(1)}^{2}}{{(1)}^{4} + 49}$

Step 2

Simplify the result.

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Step 2.1

One to any power is one.

$f (1) = \frac{14 \cdot 1}{1^{4} + 49}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

One to any power is one.

$f (1) = \frac{14 \cdot 1}{1 + 49}$

Step 2.2.2

Add $1$ and $49$ .

$f (1) = \frac{14 \cdot 1}{50}$

Step 2.3

Reduce the expression by cancelling the common factors.

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Step 2.3.1

Multiply $14$ by $1$ .

$f (1) = \frac{14}{50}$

Step 2.3.2

Cancel the common factor of $14$ and $50$ .

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Step 2.3.2.1

Factor $2$ out of $14$ .

$f (1) = \frac{2 (7)}{50}$

Step 2.3.2.2

Cancel the common factors.

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Step 2.3.2.2.1

Factor $2$ out of $50$ .

$f (1) = \frac{2 \cdot 7}{2 \cdot 25}$

Step 2.3.2.2.2

Cancel the common factor.

$f (1) = \frac{2 \cdot 7}{2 \cdot 25}$

Step 2.3.2.2.3

Rewrite the expression.

$f (1) = \frac{7}{25}$

Step 2.4

The final answer is $\frac{7}{25}$ .

$\frac{7}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{25}$

Decimal Form:

$0.28$

Step 4