Question

Which function represents the inverse of function f?

f(1) = 31 +5
A. (r) = -3r - 5
B. (1) 31 +5
-
D. g() = +
OC. p(x) =

Answer 1

The inverse of a function undoes the operation of the original function. In this case, you have:

f(1) = 31 + 5

To find the inverse function, you need to isolate the variable on one side of the equation. Start by subtracting 5 from both sides:

f(1) - 5 = 31

Now, you have:

f(1) - 5 = 31

Next, you can isolate f(1) by adding 5 to both sides:

f(1) = 31 + 5

f(1) = 36

So, the inverse function would be a function that takes an input of 36 and maps it back to 1:

g(36) = 1

Therefore, the correct option for the inverse function is:

D. g(36) = 1

The other options (A, B, and C) do not represent the inverse function of f(1) = 31 + 5.