10th Grade Function Notation, Composites and Inverses Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade functions worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Functions10th Grade 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 − x + 1, find f(1).
Answer: 4
- Replace x with 1: 4(1)2 − (1) + 1
- = 4
2.If f(x) = −2x + 6, find f(−4).
Answer: 14
- Replace x with −4: −2(−4) + 6
- = 14
3.If f(x) = 6x − 1, find f(−3).
Answer: −19
- Replace x with −3: 6(−3) − 1
- = −19
4.If f(x) = −5x − 3, find f(−3).
Answer: 12
- Replace x with −3: −5(−3) − 3
- = 12
5.If f(x) = 4x2 − x − 3, find f(1).
Answer: 0
- Replace x with 1: 4(1)2 − (1) − 3
- = 0
6.If f(x) = −2x2 − 3x − 7, find f(0).
Answer: −7
- Replace x with 0: −2(0)2 − 3(0) − 7
- = −7
7.If f(x) = 6x − 3, find f(5).
Answer: 27
- Replace x with 5: 6(5) − 3
- = 27
8.If f(x) = −2x2 − 6x − 8, find f(−1).
Answer: −4
- Replace x with −1: −2(−1)2 − 6(−1) − 8
- = −4
9.If f(x) = 3x2 − 2x − 7, find f(0).
Answer: −7
- Replace x with 0: 3(0)2 − 2(0) − 7
- = −7
10.If f(x) = 4x − 3, find f(−1).
Answer: −7
- Replace x with −1: 4(−1) − 3
- = −7
11.If f(x) = −x2 − x − 4, find f(−1).
Answer: −4
- Replace x with −1: −(−1)2 − (−1) − 4
- = −4
12.If f(x) = 3x2 − 4x, find f(0).
Answer: 0
- Replace x with 0: 3(0)2 − 4(0)
- = 0
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