Question

Given f(x) = x + 5, find f-1(3):
a) 8
b) 2
c) -2
d) -8

Answer 1

To find f-1(3) for the function f(x) = x + 5, we determine the inverse function and substitute '3' into it, resulting in -2 as the correct answer.

Step-by-step explanation:

The given function is f(x) = x + 5. To find the inverse function, f-1(x), you would need to swap 'x' and 'y', and then solve for 'y'. The inverse function tells us the value of 'x' that would give us the given 'y' value when plugged into the original function. In this case, we want to find f-1(3).

Starting with the original function, we replace 'f(x)' with 'y':
y = x + 5

Now, swap 'x' and 'y' to find the inverse function:
x = y + 5

Solve for 'y' to get the inverse function:
y = x - 5

Now we can find f-1(3) by plugging '3' into the inverse function:f-1(3) = 3 - 5 = -2. Therefore, the correct answer is c) -2.