if f(x) =3x+1 find f ^1(x) =?

Answer 1

does f^1(x) mean an inverse function of f(x)?

if so,

f(y)=x

3y+1=x

3y=x-1

y=x/3-1/3

thus,f^1(x)=x/3-1/3

Answer 2

I presume you mean f^(-1)(x), or the inverse of f(x)?

If so, then first write the equation using y:

y = 3x + 1

Then swap the x and the y:

x = 3y + 1

And solve for y:

x - 1 = 3y
y = 1/3 x - 1/3

Therefore f^(-1)(x) = 1/3 x - 1/3

Answer 3

f ^1 means a 1rst degree derivative?