Inactive Tutor answered 07/20/21
Tutor
New to Wyzant
y= (x+1)/2
switch x and y, then solve for the new y
x=(y+1)/2 = y/2 + 1/2
2x = y+ 1
y =2x -1
f^-1(x) = 2x -1
f^-1(-2) = 2(-2) -1 = -4-1 = -5
f^-1(-2) =-5
David N.
asked 06/14/21Given that f(x) = (x +1)/2, find f^-1(−2)
Inactive Tutor answered 07/20/21
y= (x+1)/2
switch x and y, then solve for the new y
x=(y+1)/2 = y/2 + 1/2
2x = y+ 1
y =2x -1
f^-1(x) = 2x -1
f^-1(-2) = 2(-2) -1 = -4-1 = -5
f^-1(-2) =-5
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