Question

Let the interval (a , +infinity) be the range of function f. The range of f(x) - 4 is given by

(A) the interval (a - 4 , +infinity)
(B) the interval (a + 4, +infinity)
(C) the interval (a, +infinity)
(C) None of the above

Answer 1

If the range of f is given by the interval (a , +infinity), we can write the following inequality 

f(x) > a

add - 4 to both sides on the inequality to obtain 

f(x) - 4 > a - 4

The last inequality suggests that the range of f(x) - 4 is (a - 4, +infinity)

Hope This Helps :)

Answer 2

Answer:

(c) the iterval (a, +infinity)