AlgebraVery hardSlope from a composed value
Algebra practice question
The linear function g is defined by g(x) = mx + 3, where m is a constant. If g(g(0)) = 11, what is the value of m?
Answer: 8/3
g(0) = 3, so g(g(0)) = g(3) = 3m + 3 = 11, giving m = 8/3.
Common wrong answers
- If you answered 3
- 3 is g(0).
- If you answered 8
- 8 forgets to divide by 3.
- If you answered 11/3
- 11/3 forgets to subtract the 3.
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