school
Acemy

Nonlinear Functions

SAT Math· difficulty 5/5

If ff is even and gg is odd, what type of function is h(x)=f(x)⋅g(x)h(x) = f(x) \cdot g(x)?

  • A

    Even

  • B

    Cannot be determined

  • C

    Odd

    check_circle
  • D

    Neither

Explanation

h(−x)=f(−x)g(−x)=f(x)(−g(x))=−f(x)g(x)=−h(x)h(-x) = f(-x) g(-x) = f(x)(-g(x)) = -f(x)g(x) = -h(x). So hh is odd.

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