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 1 — Foundation

If $f(x) = \frac{2x}{x - 3}$ , what is $f(6)$ ?

What is the value of $x$ if $\frac{1}{x - 2} = 3$ ?

If $g(x) = \frac{x + 1}{x - 1}$ , what is $g(-1)$ ?

-1

Solve for $x$ : $\frac{3}{x + 1} = 1$ .

-2

What is the domain of the function $h(x) = \frac{1}{x^{2} - 4}$ ?

All real numbers except $2$ and $-2$

All real numbers

All real numbers except $0$

All real numbers except $1$ and $-1$

If $k(x) = \frac{4}{x - 1} + 2$ , what is the value of $k(2)$ ?

Find $x$ such that $\frac{5}{x} = 0$ .

Does not exist

Undefined

Which of the following is a solution to $\frac{2x}{x - 4} = 1$ ?

If $m(x) = \frac{x^{2} - 1}{x + 1}$ , what is $m(-1)$ ?

Undefined

-1

10.

What is the value of $x$ that satisfies $\frac{x - 3}{x + 2} = 1$ ?

-1

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