school
Acemy

Linear Functions

SAT Math· difficulty 4/5

If f(x)=2x+1f(x) = 2x + 1 and g(x)=x−12g(x) = \dfrac{x - 1}{2}, then f(g(x))f(g(x)) equals

  • A

    xx

    check_circle
  • B

    2x2x

  • C

    x+1x + 1

  • D

    x−12+1\dfrac{x-1}{2} + 1

Explanation

gg is the inverse of ff, so f(g(x))=xf(g(x)) = x. Verification: f(g(x))=2⋅x−12+1=xf(g(x)) = 2 \cdot \frac{x-1}{2} + 1 = x.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode