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)?
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 puzzle card, f(x) = 3x − 4 and g(x) = x + 6. Jun needs one rule with like terms combined. 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?
In a notebook, Noah has f(x) = 3x − 4 and g(x) = x² + 2. What is g(f(3))?
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?
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
- All real numbers except -7/2
- All real numbers except 7/2
On a puzzle card, f(x) = x + 8 and g(x) = 6x + 4. Bo needs the domain of f/g. What is it?
- All real numbers except 2/3
- All real numbers
- All real numbers except -8
- All real numbers except -2/3