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Linear Functions

SAT Math· difficulty 4/5

Two linear functions f(x)=3x−2f(x) = 3x - 2 and g(x)=−x+10g(x) = -x + 10 intersect. At the point of intersection, what is f(x)f(x)?

  • A

    55

  • B

    77

    check_circle
  • C

    33

  • D

    1010

Explanation

3x−2=−x+10⇒4x=12⇒x=33x - 2 = -x + 10 \Rightarrow 4x = 12 \Rightarrow x = 3. f(3)=7f(3) = 7.

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