Composition of Functions Answers

If and , what is the range of ?

Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?

If h(x) = 6 – x, what is the value of ?

If and g(x) = 5x – 4, what is the domain of ?

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of ?

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to ?

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to ?

Which description best explains the domain of ?

If h(x) = 5 + x and , which expression is equivalent to ?