AlgebraMediumComposing a linear function with itself
Algebra practice question
The function f is defined by f(x) = −4x + 20. What is the value of f(f(2))?
Answer: -28
f(2) = −8 + 20 = 12. Then f(12) = −48 + 20 = −28.
Common wrong answers
- If you answered 12
- 12 is f(2), the inner value only.
- If you answered 28
- 28 has the wrong sign.
- If you answered -68
- −68 comes from f(f(2)) computed as −4(12) − 20, subtracting the 20 instead of adding it.
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