Worksheets › Grade 12 › Advanced Functions
Grade 12 Advanced Functions Worksheets
Free printable advanced functions practice for Grade 12, drawn from the same question engine PEDMAS students use — with an answer key. A fresh sheet every day — families with a PEDMAS account can roll new sheets any time.
Grade 12 · Advanced Functions — Practice Sheet
Name Date
- 1
Find the composed function.
f(x) = 3x + 1 and g(x) = x2 − x − 3. Find f(g(x)).
- 3x2 − 3x − 9
- 3x2 − x − 2
- x2 − x − 2
- 3x2 − 3x − 8
- 2
Find the inverse function.
f(x) = (x − 6)2 − 1, for x ≥ 6.
- f−1(x) = (x + 6)2 + 1
- f−1(x) = √x + 1 − 6
- f−1(x) = √x + 1 + 6
- f−1(x) = √x − 1 + 6
- 3
Describe the transformation.
g(x) = 4f(x) + 6. How does the graph of g compare with the graph of f?
- Vertically stretched by a factor of 4, then shifted up 6 units
- Horizontally stretched by a factor of 4, then shifted up 6 units
- Shifted up 6 units, then vertically stretched by a factor of 4
- Vertically stretched by a factor of 4, then shifted down 6 units
- 4
Find the domain of the function.
f(x) = 5x2 − 36
- x ≠ 36
- x ≠ 6 and x ≠ −6
- All real numbers
- x ≠ 6
That was 4 of 20 questions.
The full sheet, the answer key, and unlimited fresh sheets for every grade and topic are free with a PEDMAS account — no credit card. It also includes the free placement test that finds your child’s exact level.
Create a free accountGenerated by PEDMAS · pedmas.com/worksheets · free to print and share for personal and classroom use
Worksheets show practice. PEDMAS shows the path.
Is Grade 12 advanced functions the right level for your child? The free placement test answers that in about 15 minutes — then PEDMAS teaches one skill at a time until each is truly mastered.