Advanced MathVery hardSum of inputs with a shared output
Advanced Math practice question
The function g is defined by g(x) = 2(x − 4)² − 3. Two different values of x give g(x) = 15. What is the sum of those two values?
Answer: 8
The graph is symmetric about x = 4, so the two inputs average 4 and sum to 8.
Common wrong answers
- If you answered 4
- 4 is the axis of symmetry, half the sum.
- If you answered 6
- 6 is the difference of the inputs.
- If you answered 15
- 15 is the output.
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