Answer:
f^-1(3) =-1
Step-by-step explanation:
f(x) = (2x - 7)/3
To find the inverse, we exchange x and y and solve for y
y = (2x - 7)/3
Exchange x and y
x = (2y - 7)/3
Solve for y
Multiply each side by 3
3x = (2y - 7)/3 *3
3x = 2y -7
Add 7 to each side
3x+7 = 2y-7+7
3x+7 = 2y
Divide by 2
(3x+7)/2 =2y/2
(3x+7)/2 =y
f^-1(x) =(3x+7)/2
We want to find this when x =-3
f^-1(3) =(3(-3)+7)/2
= (-9+7)/2
=-2/2
=-1
