Advanced MathMediumNext value after finding an input from an output
Advanced Math practice question
The function g is defined by g(x) = 2x². If g(a) = 50 and a > 0, what is the value of g(a + 1)?
Answer: 72
2a² = 50 → a² = 25 → a = 5. Then g(6) = 2(36) = 72.
Common wrong answers
- If you answered 25
- 25 is a².
- If you answered 52
- 52 adds 2 to 50, treating g as linear with slope 2.
- If you answered 62
- 62 comes from 2(25 + 6), adding 6 inside the bracket instead of squaring 6.
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What are the solutions to x² + 6x + 8 = 0?
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