Question

Given f(x)= (4x+1)/3 solve for f^-1(3)

Answer 1

I hope this helps you

Answer 2

F(x) = (4x + 1) /3

f⁻¹ (x ) is the inverse function of x.

Let f(x) = y,  x = f⁻¹(y)

f(x) = (4x + 1) /3

y = (4x + 1) /3                Solve for x.

3y = 4x + 1

3y - 1 = 4x          Divide both sides by 4

(3y - 1)/4  = x

x = (3y - 1)/4              Recall x =  f⁻¹(y)

f⁻¹(y)  = (3y - 1)/4   

f⁻¹(3)  = (3*3 - 1)/4

           = (9 - 1)/4 = 8 / 4 = 2

f⁻¹(3) = 2.

I hope this helps.