given $p = f(x)$ where $p$ is the profit in thousand of dollars and $x$ is the number of units sold, which…

given $p = f(x)$ where $p$ is the profit in thousand of dollars and $x$ is the number of units sold, which of the following is the best interpretation of $f^{-1}(15)=120$?\n\nif the company has a profit of $1,500, they will have sold 120 units.\nit will cost $15,000 to make 120 units.\nif the company has a profit of $15, they will have sold 120 units.\nif the company has a profit of $15,000, they will have sold 120 units.\nif the company has a profit of $120, they will have sold 15 units.\nit will cost $15 to make 120 units.\nif the company has a profit of $120,000, they will have sold 15 units.

given $p = f(x)$ where $p$ is the profit in thousand of dollars and $x$ is the number of units sold, which of the following is the best interpretation of $f^{-1}(15)=120$?\n\nif the company has a profit of $1,500, they will have sold 120 units.\nit will cost $15,000 to make 120 units.\nif the company has a profit of $15, they will have sold 120 units.\nif the company has a profit of $15,000, they will have sold 120 units.\nif the company has a profit of $120, they will have sold 15 units.\nit will cost $15 to make 120 units.\nif the company has a profit of $120,000, they will have sold 15 units.

Answer

Brief Explanations:

The function $P = f(x)$ has $P$ (profit in thousands of dollars) as the output and $x$ (number of units sold) as the input. The inverse function $f^{-1}(y)$ has the profit as the input and the number of units sold as the output. Given $f^{-1}(15)=120$, since $P$ is in thousands of dollars, an input of 15 to the inverse - function means a profit of $15\times1000 = 15000$ dollars, and the output 120 means 120 units sold.

Answer:

If the company has a profit of $15,000, they will have sold 120 units.