Graph f(x)=(x^2+2x-48)/(g(x))

$f (x) = \frac{x^{2} + 2 x - 48}{g (x)}$

Find the point at $x = - 2$ .

Replace the variable $x$ with $- 2$ in the expression.

$f (- 2) = \frac{((- 2) - 6) ((- 2) + 8)}{g (- 2)}$

Simplify the result.

Cancel the common factor of $(- 2) - 6$ and $- 2$ .

Factor $2$ out of $((- 2) - 6) ((- 2) + 8)$ .

$f (- 2) = \frac{2 ((- 1 - 3) ((- 2) + 8))}{g (- 2)}$

Cancel the common factors.

Factor $2$ out of $g (- 2)$ .

$f (- 2) = \frac{2 ((- 1 - 3) ((- 2) + 8))}{2 (g \cdot (- 1))}$

Cancel the common factor.

$f (- 2) = \frac{2 ((- 1 - 3) ((- 2) + 8))}{2 (g \cdot (- 1))}$

Rewrite the expression.

$f (- 2) = \frac{(- 1 - 3) ((- 2) + 8)}{g \cdot (- 1)}$

Simplify the numerator.

Subtract $3$ from $- 1$ .

$f (- 2) = \frac{- 4 (- 2 + 8)}{g \cdot (- 1)}$

Add $- 2$ and $8$ .

$f (- 2) = \frac{- 4 \cdot 6}{g \cdot (- 1)}$

Reduce the expression by cancelling the common factors.

Multiply $- 4$ by $6$ .

$f (- 2) = \frac{- 24}{g \cdot (- 1)}$

Move $- 1$ to the left of $g$ .

$f (- 2) = \frac{- 24}{- 1 \cdot g}$

Dividing two negative values results in a positive value.

$f (- 2) = \frac{24}{g}$

The final answer is $\frac{24}{g}$ .

$\frac{24}{g}$

Convert $\frac{24}{g}$ to decimal.

$y = \frac{24}{g}$

Find the point at $x = - 1$ .

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

$f (- 1) = \frac{((- 1) - 6) ((- 1) + 8)}{g (- 1)}$

Simplify the result.

Simplify the numerator.

Subtract $6$ from $- 1$ .

$f (- 1) = \frac{- 7 (- 1 + 8)}{g (- 1)}$

Add $- 1$ and $8$ .

$f (- 1) = \frac{- 7 \cdot 7}{g (- 1)}$

Reduce the expression by cancelling the common factors.

Multiply $- 7$ by $7$ .

$f (- 1) = \frac{- 49}{g (- 1)}$

Move $- 1$ to the left of $g$ .

$f (- 1) = \frac{- 49}{- 1 g}$

Dividing two negative values results in a positive value.

$f (- 1) = \frac{49}{g}$

The final answer is $\frac{49}{g}$ .

$\frac{49}{g}$

Convert $\frac{49}{g}$ to decimal.

$y = \frac{49}{g}$

Find the point at $x = 1$ .

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

$f (1) = \frac{((1) - 6) ((1) + 8)}{g (1)}$

Simplify the result.

Simplify the numerator.

Subtract $6$ from $1$ .

$f (1) = \frac{- 5 (1 + 8)}{g (1)}$

Add $1$ and $8$ .

$f (1) = \frac{- 5 \cdot 9}{g (1)}$

Simplify the expression.

Multiply $g$ by $1$ .

$f (1) = \frac{- 5 \cdot 9}{g}$

Multiply $- 5$ by $9$ .

$f (1) = \frac{- 45}{g}$

Move the negative in front of the fraction.

$f (1) = - \frac{45}{g}$

The final answer is $- \frac{45}{g}$ .

$- \frac{45}{g}$

Convert $- \frac{45}{g}$ to decimal.

$y = - \frac{45}{g}$

Find the point at $x = 2$ .

Replace the variable $x$ with $2$ in the expression.

$f (2) = \frac{((2) - 6) ((2) + 8)}{g (2)}$

Simplify the result.

Cancel the common factor of $(2) - 6$ and $2$ .

Factor $2$ out of $((2) - 6) ((2) + 8)$ .

$f (2) = \frac{2 ((1 - 3) ((2) + 8))}{g (2)}$

Cancel the common factors.

Factor $2$ out of $g (2)$ .

$f (2) = \frac{2 ((1 - 3) ((2) + 8))}{2 g}$

Cancel the common factor.

$f (2) = \frac{2 ((1 - 3) ((2) + 8))}{2 g}$

Rewrite the expression.

$f (2) = \frac{(1 - 3) ((2) + 8)}{g}$

Simplify the numerator.

Subtract $3$ from $1$ .

$f (2) = \frac{- 2 (2 + 8)}{g}$

Add $2$ and $8$ .

$f (2) = \frac{- 2 \cdot 10}{g}$

Simplify the expression.

Multiply $- 2$ by $10$ .

$f (2) = \frac{- 20}{g}$

Move the negative in front of the fraction.

$f (2) = - \frac{20}{g}$

The final answer is $- \frac{20}{g}$ .

$- \frac{20}{g}$

Convert $- \frac{20}{g}$ to decimal.

$y = - \frac{20}{g}$

Find the point at $x = 3$ .

Replace the variable $x$ with $3$ in the expression.

$f (3) = \frac{((3) - 6) ((3) + 8)}{g (3)}$

Simplify the result.

Cancel the common factor of $(3) - 6$ and $3$ .

Factor $3$ out of $((3) - 6) ((3) + 8)$ .

$f (3) = \frac{3 ((1 - 2) ((3) + 8))}{g (3)}$

Cancel the common factors.

Factor $3$ out of $g (3)$ .

$f (3) = \frac{3 ((1 - 2) ((3) + 8))}{3 g}$

Cancel the common factor.

$f (3) = \frac{3 ((1 - 2) ((3) + 8))}{3 g}$

Rewrite the expression.

$f (3) = \frac{(1 - 2) ((3) + 8)}{g}$

Simplify the numerator.

Subtract $2$ from $1$ .

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

Add $3$ and $8$ .

$f (3) = \frac{- 1 \cdot 11}{g}$

Simplify the expression.

Multiply $- 1$ by $11$ .

$f (3) = \frac{- 11}{g}$

Move the negative in front of the fraction.

$f (3) = - \frac{11}{g}$

The final answer is $- \frac{11}{g}$ .

$- \frac{11}{g}$

Convert $- \frac{11}{g}$ to decimal.

$y = - \frac{11}{g}$

The cubic function can be graphed using the function behavior and the points.

$\begin{array}{c} x & y \\ - 2 & \frac{24}{g} \\ - 1 & \frac{49}{g} \\ 1 & - \frac{45}{g} \\ 2 & - \frac{20}{g} \\ 3 & - \frac{11}{g} \end{array}$

The cubic function can be graphed using the function behavior and the selected points.

Not a polynomial

$\begin{array}{c} x & y \\ - 2 & \frac{24}{g} \\ - 1 & \frac{49}{g} \\ 1 & - \frac{45}{g} \\ 2 & - \frac{20}{g} \\ 3 & - \frac{11}{g} \end{array}$

Graph f(x)=(x^2+2x-48)/(g(x))

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