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 $f^{-1}(15)=120$?\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 $f^{-1}(15)=120$?\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 $P$ in thousands of dollars. The inverse function $f^{-1}(15)=120$ means when the output of the inverse function (which corresponds to the input of the original function $f$) is 15 (in thousands of dollars for profit), the input of the inverse function (which corresponds to the output of the original function $f$) is 120 (number of units sold). So when the profit $P = 15\times1000=$15,000$, the number of units sold $x = 120$.

Answer:

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