Calculus Examples

$f (1) = \frac{5}{3} x - \frac{13}{3}$

Step 1

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

$f (1) = \frac{5}{3} \cdot (1) - \frac{13}{3}$

Step 2

Simplify the result.

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Step 2.1

Multiply $\frac{5}{3}$ by $1$ .

$f (1) = \frac{5}{3} - \frac{13}{3}$

Step 2.2

Combine fractions.

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Step 2.2.1

Combine the numerators over the common denominator.

$f (1) = \frac{5 - 13}{3}$

Step 2.2.2

Simplify the expression.

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Step 2.2.2.1

Subtract $13$ from $5$ .

$f (1) = \frac{- 8}{3}$

Step 2.2.2.2

Move the negative in front of the fraction.

$f (1) = - \frac{8}{3}$

Step 2.3

The final answer is $- \frac{8}{3}$ .

$- \frac{8}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{3}$

Decimal Form:

$- 2.\overline{6}$

Mixed Number Form:

$- 2 \frac{2}{3}$

Step 4