4.7-Inverse Linear Functions

Practice inverse linear functions and master input-output reversal!

Watch the video before doing the worksheet. Fill in the blanks. An inverse function is the reverse of the original function f(x), making the original inputs become the outputs of the inverse function and the original outputs the inputs of the inverse function. Find the inverse of each relation. {(-2, 1), (-5, 0), (-8, -1), (-11, 2)} {(1, -2), (0, -5), (-1, -8), (2, -11)} {(3, 5), (4, 8), (5, 11), (6, 14)} {(5, 3), (8, 4), (11, 5), (14, 6)} {(5, 11), (1, 6), (-3, 1), (-7, -4)} {(11, 5), (6, 1), (1, -3), (-4, -7)} {(0, 3), (2, 3), (4, 3), (6, 3)} {(3, 0), (3, 2), (3, 4), (3, 6)} Write the inverse of each equation. Make sure to use paratheses when necessary. Use g(x) instead of f-1(x) for the following problems. So all should start with g(x)=... Question Answer f(x)=6 g(x)=5 f(x)=(4x+2) g(x)=(3x-2) f(x)=(3x-1) g(x)=(6x+1) f(x)=-5(-x-6) g(x)=x 4x+6y=24 g(x)=(24-6x) -3x+5y=18 g(x)=(3x+18) x+5y=12 g(x)=-5x+12 5x+8y=40 g(x)=(40-8x)