Solving Rational Functions

This worksheet covers Solving Rational Functions, which is part of the Rational Functions module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Solving Rational Functions

Rational Functions • SAT Math

Set 4 — Mastery

If $f(x) = \frac{2x}{x^{2} - 4}$ , what value of $x$ makes $f(x)$ undefined?

-2

Both 2 and -2

Solve for $x$ : $\frac{x - 3}{x + 1} = \frac{5}{2}$

If $g(x) = \frac{3x + 1}{x - 4}$ , find the value of $g(5)$ .

What is the vertical asymptote of the function $h(x) = \frac{x + 2}{x^{2} - 9}$ ?

-3

Both 3 and -3

nan

If $\frac{2x}{x - 1} = 4$ , what is the solution for $x$ ?

If $\frac{x + 1}{x - 2} = 0$ , what is the value of $x$ ?

-1

For which value of $x$ is $\frac{2}{x + 3} = 1$ ?

-2

-1

What is the horizontal asymptote of the function $f(x) = \frac{4x^{2} + 2}{2x^{2} + 3}$ ?

Solve for $x$ : $\frac{x - 1}{x + 2} + \frac{3}{x - 2} = 0$

-1

-2

10.

If $\frac{5}{x - 1} = \frac{10}{x + 3}$ , what is the value of $x$ ?

-1

-2

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