SOLUTION: Find an equation for the linear function satisfying the condition that the graph of its inverse function is perpendicular to the line 4x+ 2y-3

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

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 + b

2x - 2b = y

with b = 2 as an ex: (1/2)x + 2 would be the inverse of 2x -4 (blue line)