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Select the correct answer.What is the inverse of function f?๐‘“โก(๐‘ฅ)=๐‘ฅ+7 A. ๐‘“-1โก(๐‘ฅ)=(๐‘ฅ+7)2,for๐‘ฅโ‰ฅ-7 B. ๐‘“-1โก(๐‘ฅ)=๐‘ฅ2+7,for๐‘ฅโ‰ฅ-7 C. ๐‘“-1โก(๐‘ฅ)=๐‘ฅ2โˆ’7,for๐‘ฅโ‰ฅ7 D. ๐‘“-1โก(๐‘ฅ)=(๐‘ฅโˆ’7)2,for๐‘ฅโ‰ฅ7

Question

Select the correct answer.What is the inverse of function f?๐‘“โก(๐‘ฅ)=๐‘ฅ+7 A. ๐‘“-1โก(๐‘ฅ)=(๐‘ฅ+7)2,for๐‘ฅโ‰ฅ-7 B. ๐‘“-1โก(๐‘ฅ)=๐‘ฅ2+7,for๐‘ฅโ‰ฅ-7 C. ๐‘“-1โก(๐‘ฅ)=๐‘ฅ2โˆ’7,for๐‘ฅโ‰ฅ7 D. ๐‘“-1โก(๐‘ฅ)=(๐‘ฅโˆ’7)2,for๐‘ฅโ‰ฅ7

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Solution

The inverse of a function essentially "undoes" the operation of the original function. In this case, the original function is f(x) = x + 7. To find the inverse, we need to swap x and y and solve for y:

Step 1: Swap x and y. This gives us x = y + 7. Step 2: Solve for y. This gives us y = x - 7.

So, the inverse of the function f(x) = x + 7 is f^-1(x) = x - 7. However, this option is not given in the choices. There seems to be a mistake in the options provided as none of them are the correct inverse of the given function.

This problem has been solved

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