Find the Inverse of f(x) = 2x - 6

Of(x)= 2x + 3
O f(x)= 1/2x+3
Of(x) = x + 3
Of(x) = 2x - 3

y = 1/2x + 3

O f(x)= 1/2x+3

Step-by-step explanation:

f(x) = 2x - 6

y = 2x - 6

x = 2y - 6

2y = x + 6

y = (x + 6)/2

y = 1/2x + 3

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is