Question 356352
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Hi,

question states its inverse function is perpendicular to 2x +2y - 3 = 0
4x +2y - 3 = 0
y = -2x + 3/2  slope m = -2
standard slope intercept form of an equation of a line is
y= mx + b
two lines with slopes that are negative reciprocals of each other are perpendicular to each other
inverse function would have a slope m = (1/2)
y = (1/2)x + b
Using Pt(-1,1)to solve for b
1 = -1/2 + b
b = 3/2
y = (1/2)x +3/2
The procedure for finding the inverse of a linear function is fairly basic.
1. Switch “x” and “y”.
2. Solve for “y”.
x = (1/2)y + 3/2
2x  = y + 3
2x - 3 = y   (blue line)
{{{ graph( 300, 300, -10, 10, -10, 10, -2x+ (3/2) , .5x + 1.5, 2x - 3) }}}