AlgebraVery hardEvaluating a shifted function
Algebra practice question
The functions f and g are defined by f(x) = 2x + 1 and g(x) = f(x − 3). What is the value of g(5)?
Answer: 5
g(5) = f(5 − 3) = f(2) = 2(2) + 1 = 5.
Common wrong answers
- If you answered 8
- 8 is f(5) − 3 = 11 − 3 — subtracting 3 from the OUTPUT instead of the input.
- If you answered 11
- 11 is f(5); the shift means f is evaluated at 5 − 3 = 2.
- If you answered 17
- 17 is f(8), adding 3 to the input instead of subtracting it.
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