Trigonometry Examples

$(f \circ g) - 6$

Step 1

Solve for $y$ .

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Add $6$ to both sides of the equation.

$f o g = 6$

Divide each term in $f o g = 6$ by $o g$ and simplify.

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Divide each term in $f o g = 6$ by $o g$ .

$\frac{f o g}{o g} = \frac{6}{o g}$

Simplify the left side.

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Cancel the common factor of $o$ .

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Cancel the common factor.

$\frac{f o g}{o g} = \frac{6}{o g}$

Rewrite the expression.

$\frac{f g}{g} = \frac{6}{o g}$

Cancel the common factor of $g$ .

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Cancel the common factor.

$\frac{f g}{g} = \frac{6}{o g}$

Divide $f$ by $1$ .

$f = \frac{6}{o g}$

Step 2

Find the asymptotes.

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Find where the expression $\frac{6}{o g}$ is undefined.

$o = 0$

$f = \frac{6}{o g}$ is an equation of a line, which means there are no horizontal asymptotes.

No Horizontal Asymptotes

Since there is no remainder from the polynomial division, there are no oblique asymptotes.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes: $o = 0$

No Horizontal Asymptotes

No Oblique Asymptotes

Vertical Asymptotes: $o = 0$

No Horizontal Asymptotes

No Oblique Asymptotes

Step 3