Combine functions: add, subtract, multiply, divide and compose
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
On a worksheet, f(x) = 3x² − 2x + 1 and g(x) = x² + 4x − 5. Ari writes one rule for the new function. Type powers like x^2. What is (f − g)(x)?
In a notebook, Bo has f(x) = x + 3 and g(x) = 2x − 5. What is (f·g)(x), with like terms combined?
Esme combines f(x) = 4x² + x − 3 and g(x) = 2x² − 5x + 4 in pencil. Type powers like x^2. What is (f − g)(x)?
On a worksheet, Kira adds f(x) = x² + 5x and g(x) = 3x − 2. Type powers like x^2. What is (f + g)(x)?
In a notebook, Luz has f(x) = 2x² − 5 and g(x) = 4x² + x + 3. What is (f + g)(x), with like terms combined?
On a worksheet, f(x) = x² − 5 and g(x) = 2x + 1. Milo works out f(g(-2)). What is it?
Pia works in pencil with f(x) = x² + 4 and g(x) = -x + 3. What is f(g(5))?
On a puzzle card, f(x) = x² − 2x and g(x) = 4x + 1. Ren needs g(f(-1)). What is it?
On a worksheet, f(x) = x + 5 and g(x) = 4x − 8. Tala writes the domain of (f/g)(x). What is it?
- All real numbers except 2
- All real numbers except -2
- All real numbers except -5
- All real numbers
Ari works in pencil: f(x) = x + 6 and g(x) = 2x − 7. What is the domain of (f/g)(x)?
- All real numbers except -6
- All real numbers except 7/2
- All real numbers
- All real numbers except -7/2