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Linear Functions

SAT Math· difficulty 4/5

A discount of 20%20\% is applied, then a \5couponissubtracted.Ifcoupon is subtracted. Iff(x) = 0.8xandandg(x) = x - 5$, which composition gives the final price?

  • A

    g(f(x))g(f(x))

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  • B

    f(g(x))f(g(x))

  • C

    f(x)⋅g(x)f(x) \cdot g(x)

  • D

    f(x)+g(x)f(x) + g(x)

Explanation

First apply ff (discount), then gg (coupon): g(f(x))g(f(x)).

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