Maths yr12 help plz!!?

Question

Can anyone with any idea on how to answer this question show me and tell me how to answer inverse functions.

Which one of the following sets is a possible domain for the function with the rule f(x)=(x+3)-6 if the inverse functon is to exist?

A. R b. [6, infinite) c. (- infinite, 3] d. [6, inifnite)
E. (- infinite, 0)

Any help plz

Answer 1

i am a bit bewildered by your equation.

so you really mean f(x)=(x+3)-6? because then f[x]=x-3 and since it is a linear function, the domain is all Real numbers.