Question

Use the table below to fill in missing values.

Answer 1

Step-by-step explanation:

We can observe from the table that the value of independent variable and then the values of function on that variable are given.

So,

f(5) = 6

As the value of function at x=5 is 6

If f(x) = 4 then x = 7

The value of function is 4 only on x=7 so the answer is x = 7

When the inverse is taken, the inputs become output and the outputs become inputs

$f^{-1}(6) = 5$

The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6

Now,

Lastly

$if\ f^{-1}(x) = 7,\ then \x = 4$

The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.