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Linear Functions

SAT Math· difficulty 4/5

Starting with f(x)=xf(x) = x, apply: shift left 22, multiply output by 33, then shift down 11. The result g(x)g(x) equals:

  • A

    3x+53x + 5

  • B

    3x+63x + 6

  • C

    Both A and C

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  • D

    3(x+2)−13(x + 2) - 1

Explanation

g(x)=3(x+2)−1=3x+6−1=3x+5g(x) = 3(x+2) - 1 = 3x + 6 - 1 = 3x + 5.

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