Question

Which of the following pairs of functions are inverses of each other?

Answer 1

Answer:

B. f(x) = 5(x/4) - 3 and g(x) = [4(x + 3)]/5

Step-by-step explanation:

In the figure attached, the question is shown (the order of the options are different).

To find the inverse of a function, first, replace x with g(x) and f(x) with x, as follows:

f(x) = 5(x/4) - 3

x = 5(g(x)/4) - 3

Next, isolate g(x), as follows:

x + 3 = 5(g(x)/4)

4(x + 3) = 5g(x)

[4(x + 3)]/5 = g(x)