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iVinArrow [24]
3 years ago
11

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

answer.
Mathematics
2 answers:
lianna [129]3 years ago
3 0
Given the function
f(x)=-8x+4

The inverse of the function is calculated by changing f(x) to y and making x the subject of the formula as follows:
y=-8x+4 \\  \\ y-4=-8x \\  \\ x= \frac{y-4}{-8}

We now change back the variables to get the function in the form of inverse function as follows:
f^{-1}(x)=\frac{x-4}{-8}

Comparing this with Talib's work, we can see that he is correct except for the last line where he did not change the variable y back to x.

Therefore, the last line of his work made his inverse not to be correct.
Katen [24]3 years ago
3 0

The sample response on e2020 is: His work is not correct. You first must switch x and y and then solve for y.

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