Advanced Math practice question

Answer: 36

g(6) = 2⁶ = 64 and f(6) = 3(6) + 10 = 28. So g(6) − f(6) = 64 − 28 = 36. The exponential function starts smaller but overtakes the linear one.

Common wrong answers

If you answered 28

28 is just f(6). Subtract it from g(6) = 64.

If you answered −36

That's f(6) − g(6). The question asks for g(6) − f(6), and g(6) = 64 is the larger value.

If you answered −16

−16 is 2(6) − 28: 2ˣ was read as 2x. The exponent makes it 2 · 2 · 2 · 2 · 2 · 2 = 64.

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