Rational Functions
Interactive practice questions
Finding solutions to rational equations requires careful consideration. Fill in the missing number:
"A proposed solution of a rational equation must be rejected if it causes a denominator to equal $\editable{}$."
Easy
< 1min
What is the resulting equation after we clear the fractions? Do not solve the equation.
| $\frac{8}{\left(x+6\right)\left(x-6\right)}$8(x+6)(x−6) | $=$= | $\frac{5}{x-6}+\frac{4}{x+6}$5x−6+4x+6 |
| $\left(x+6\right)\left(x-6\right)\times\frac{8}{\left(x+6\right)\left(x-6\right)}$(x+6)(x−6)×8(x+6)(x−6) | $=$= | $\left(x+6\right)\left(x-6\right)\left(\frac{5}{x-6}+\frac{4}{x+6}\right)$(x+6)(x−6)(5x−6+4x+6) |
Easy
3min
A rational equation can have no solution. True or false?
Easy
< 1min
Consider the following graph of a hyperbola.
Easy
< 1min
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