Algebra 2 Function Operations

Question

The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 2x² + x − 3 and g(x) = x − 1.

Find f(x) • g(x).

Answer 1

 f(x) • g(x) Substitute in the expressions

2x² + x − 3 (x − 1) Distribute

2x³ -2x² + x² - x - 3x+3 Combine like terms

2x³ - x² - 4x + 3

Answer 2

 f(x) • g(x) Substitute in the expressions

2x² + x − 3 (x − 1) Distribute

2x³ -2x² + x² - x - 3x+3 Combine like terms

2x³ - x² - 4x + 3