Year 11 Function Notation, Composites and Inverses Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 functions worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · FunctionsYear 11 Function Notation, Composites and Inverses Worksheet — Level 1 — Practice Set 3 — Answers
f(x) notation means "the value of the function at x". For a composite, substitute the inner function into the outer one. For an inverse, swap x and y and solve for y.
1.If f(x) = 4x2 − 4x + 4, find f(4).
Answer: 52
- Replace x with 4: 4(4)2 − 4(4) + 4
- = 52
2.If f(x) = −2x + 1, find f(−1).
Answer: 3
- Replace x with −1: −2(−1) + 1
- = 3
3.If f(x) = −3x + 7, find f(2).
Answer: 1
- Replace x with 2: −3(2) + 7
- = 1
4.If f(x) = 6x − 3, find f(−2).
Answer: −15
- Replace x with −2: 6(−2) − 3
- = −15
5.If f(x) = 2x2 − 5x + 2, find f(0).
Answer: 2
- Replace x with 0: 2(0)2 − 5(0) + 2
- = 2
6.If f(x) = −x2 + x + 3, find f(2).
Answer: 1
- Replace x with 2: −(2)2 + (2) + 3
- = 1
7.If f(x) = 2x2 + 6x − 5, find f(2).
Answer: 15
- Replace x with 2: 2(2)2 + 6(2) − 5
- = 15
8.If f(x) = 2x2 − 5x + 4, find f(3).
Answer: 7
- Replace x with 3: 2(3)2 − 5(3) + 4
- = 7
9.If f(x) = 6x + 6, find f(2).
Answer: 18
- Replace x with 2: 6(2) + 6
- = 18
10.If f(x) = −x2 + 5x − 8, find f(2).
Answer: −2
- Replace x with 2: −(2)2 + 5(2) − 8
- = −2
11.If f(x) = 3x2 − x + 4, find f(−3).
Answer: 34
- Replace x with −3: 3(−3)2 − (−3) + 4
- = 34
12.If f(x) = x2 + 2x + 1, find f(−2).
Answer: 1
- Replace x with −2: (−2)2 + 2(−2) + 1
- = 1
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