Combine functions: add, subtract, multiply, divide and compose
Grade 11 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
On a worksheet, f(x) = 3x − 2 and g(x) = x² + 4. Esme writes one rule for f(g(x)). Type powers like x^2. What is it?
In a notebook, Jun has f(x) = 2x + 1 and g(x) = x² − 3. What is g(f(x)), with like terms combined?
On a puzzle card, f(x) = x − 4 and g(x) = 2x² + 1. Luz needs g(f(x)) with like terms combined. What is it?
Milo's worksheet shows the graph of f and the rule g(x) = x − 3. At one x, f(g(x)) = 6. What is that x?
In a notebook, Noah has the graph of f and g(x) = x + 3. For which x is f(g(x)) = -4?
On a puzzle card, Ren sees the graph of f and the rule g(x) = x − 4. For which x is f(g(x)) = 7?
On a worksheet, f(x) = x + 4 and g(x) = x² − x − 6. Tala writes the domain of (f/g)(x). What is it?
- All real numbers except -3 and 2
- All real numbers except -2 and 3
- All real numbers except -4
- All real numbers
In a notebook, Zee has f(x) = x + 1 and g(x) = x² − 16. What is the domain of f/g?
- All real numbers
- All real numbers except 16, with no root taken
- All real numbers except -1
- All real numbers except -4 and 4
Ari works in pencil: f(x) = x + 5 and g(x) = x² + 2x − 8. What is the domain of (f/g)(x)?
- All real numbers
- All real numbers except -2 and 4
- All real numbers except -4 and 2
- All real numbers except -5
On a puzzle card, f(x) = x + 7 and g(x) = x² − 25. Bo needs the domain of f/g. What is it?
- All real numbers except -5 and 5
- All real numbers
- All real numbers except 25
- All real numbers except -7