Question

Lucy has determined a function f(x) that shows the exponential growth of the number of t-shirts Oliver owns each year. Explain how the f−1(x) can be found and what f−1(300) means.

Answer 1

can someone please help

Answer 2

I know f^-1(x) can be found by finding the inverse of the x and y values.

Answer 3

I need to know what f^−1(300) means

Answer 4

those are exponents btw

Answer 5

The inverse of an exponential function is a log function.

Answer 6

yes i learned that

Answer 7

so does that mean f^−1(300) is a logarithmic function?

Answer 8

That means that 300 is the input value in the log function.

Answer 9

is there any more info to this problem?

Answer 10

f^-1(x) can be found by finding the inverse of the x and y values. Because it is the inverse of f(x), it is a logarithmic function. f^−1(300) means that 300 is the input of the logarithmic function.

Answer 11

that was my answer so far

Answer 12

u still there?

Answer 13

So the original function gives you an output that is the number of t-shirts Oliver owns for an input that is the number of years.
That means that the input of the inverse function would be the number of t-shirts and the output of the inverse function would be the number of years until he owns that many t-shirts.
So if you input 300 into the inverse function, the output will be the the number of years when he owns 300 t-shirts