A function, f(x) = x, is vertically translated 4 units up and then reflected across the y-axis. What's the new function in terms of g(x)? A. g(x) = –4x
B. g(x) = –x + 4
C. g(x) = –x – 4
D. g(x) = x – 4

d. all of the above

step-by-step explanation:

p - 6

step-by-step explanation

so you know that it cost $6 to see a movie you subtract p - 6 to get your answer

hope this !

let f: r - > r and g: r - > r be two functions defined by f(x) = x + 1 and g(x) = x - 1.

let us prove whether these functions are inverses of each other by using composition.

f·g (x) = f(g(x)) = f(x - 1)

                      = (x - 1) + 1

                      = x

also, g·f (x) = g(f(x))

                  = g(x + 1)

                  = (x + 1) - 1

                  = x

hence, f and g are inverses of each other.

clearly, f·g : r - > r.

therefore, the domain of f·g is r = (-∝, ∝).