SOLUTION: I've been given the following question and I'm completely lost: f is a function that takes a real number x and performs these three steps in the order given: (1) Take the ab

Question 1037101: I've been given the following question and I'm completely lost:
f is a function that takes a real number x and performs these three steps in the order given:
(1) Take the absolute value.
(2) Subtract 4 from the result.
(3) Take the reciprocal of the result.
(That is, make the quantity the denominator of a fraction with numerator 1.)
(a) Find an expression for f (x). (no explanation required)

(b) State the domain of f. (no explanation required)
please help
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.
I've been given the following question and I'm completely lost:

f  is a function that takes a real number x and performs these three steps in the order given:

		(1) Take the absolute value.                Abs. value of x is |x|.

		(2) Subtract 4 from the result.             |x|-4

		(3) Take the reciprocal of the result.      f(x) = .

(That is, make the quantity the denominator of a fraction with numerator 1.)

	(a) Find an expression for f (x).  (no explanation required)     f(x) = .


	(b) State the domain of f.   (no explanation required)    The domain is the set of all real numbers except of -4 and 4   
                                                                  ( dividing by zero is prohibited ).

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