school
Acemy

Nonlinear Functions

SAT Math· difficulty 3/5

What is the inverse of f(x)=x+52f(x) = \frac{x + 5}{2}?

  • A

    f−1(x)=2x+5f^{-1}(x) = 2x + 5

  • B

    f−1(x)=2x+5f^{-1}(x) = \frac{2}{x + 5}

  • C

    f−1(x)=2x−5f^{-1}(x) = 2x - 5

    check_circle
  • D

    f−1(x)=x−52f^{-1}(x) = \frac{x - 5}{2}

Explanation

y=x+52⇒2y=x+5⇒x=2y−5y = \frac{x + 5}{2} \Rightarrow 2y = x + 5 \Rightarrow x = 2y - 5, so f−1(x)=2x−5f^{-1}(x) = 2x - 5.

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