can someone tell me if i did i do this correctly

Question

f is a function that takes a real number x and performs the following three steps in the order given:
(1) Multiply by 4.
(2) Subtract 8.
(3) Take the reciprocal. (That is, make the quantity the denominator of a fraction with numerator 1.)

(a) Find an expression for f (x).


MY ANSWER IS f(x)=1/(4x-8)

(b) State the domain of f.

 

MY Answer is (-∞, 2) ∪ (2,∞)

 

would this be correct since if you exchange 2 for x it would make the equation 1/0. Please tell me i am understanding this domain part correctly.

Answer 1

You're right on it, Lindsay!

 

Michael.