Pre-Algebra Examples

$\frac{3^{y}}{4} = (21)$

Step 1

Remove parentheses.

$\frac{3^{y}}{4} = 21$

Step 2

Subtract $21$ from both sides of the equation.

$\frac{3^{y}}{4} - 21 = 0$

Step 3

Graph $y = \frac{3^{y}}{4} - 21$ .

$y = \frac{3^{y}}{4} - 21$

Step 4

Find the asymptotes.

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Step 4.1

Find where the expression $0$ is undefined.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Step 4.2

The vertical asymptotes occur at areas of infinite discontinuity.

No Vertical Asymptotes

Step 4.3

$\frac{3^{y}}{4} - 21 = 0$ is an equation of a line, which means there are no horizontal asymptotes.

No Horizontal Asymptotes

Step 4.4

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

No Oblique Asymptotes

Step 4.5

This is the set of all asymptotes.

No Vertical Asymptotes

No Horizontal Asymptotes

No Oblique Asymptotes

No Vertical Asymptotes

No Horizontal Asymptotes

No Oblique Asymptotes

Step 5