Question

Fill out the table for f-1(x) if f(x)=√x + 5
X
f(x)
X
f'(x)

Answer 1

To find the inverse function f-1(x) for f(x) = √x + 5, we solve for x, resulting in f-1(x) = (x - 5)2. Values of x can then be substituted into this inverse function to fill out the corresponding table values.

Step-by-step explanation:

To fill out the table for the inverse function f-1(x) given that f(x) = √x + 5, we first need to remember that the inverse function essentially reverses the operation of the original function. This means we need to solve for x in terms of y, where f-1(y) = x and y = f(x).

• Start with y = √x + 5.
• Subtract 5 from both sides: y - 5 = √x.
• Square both sides to eliminate the square root: (y - 5)2 = x.

So, the inverse function is f-1(x) = (x - 5)2. You would then fill in the table by selecting values for x, apply the inverse function, and write down the corresponding outputs for f-1(x).