F (x) = 3x-1/2what is the value of f-1 (3)

Ok so basically for inverse, the input becomes output, output becomes input

f (x) = y

in inverse

f (y) = x

so

f (x) = 3x-1/2

y=3x-1/2

f⁻¹ (3) = y

f (y) = 3

basically, replace f (x) with 3 and solve for x

3=3x-1/2

add 1/2

3.5=3x

divide by 3

1.16666666=x

or

1 and 1/6=x

this might seem like voodo so I will do the normal way

1. replace f (x) with y

2. switch x and y

3. solve for y

4. replace y with f⁻¹ (x)

replace

y=3x-1/2

switch

x=3y-1/2

solve

x+1/2=3y

(x+1/2) / 3=y

replace

f⁻¹ (x) = (x+1/2) / 3

f⁻¹ (3) = (3+1/2) / 3

f⁻¹ (3) = (3.5) / 3

f⁻¹ (3) = 1 and 1/6 or 1.1666666