To find the inverse of the function y = e^(8 - x), we first need to swap x and y to get x = e^(8 - y).

Next, we need to solve for y.

To do this, we can take the natural logarithm (ln) of both sides to get rid of the exponential on the right side.

This gives us ln(x) = 8 - y.

Finally, we solve for y by subtracting 8 from both sides and multiplying by -1 to get y = 8 - ln(x).

So, the inverse of the function y = e^(8 - x) is y = 8 - ln(x).

Question

To find the inverse of the function y = e^(8 - x), we first need to swap x and y to get x = e^(8 - y).

Next, we need to solve for y.

To do this, we can take the natural logarithm (ln) of both sides to get rid of the exponential on the right side.

This gives us ln(x) = 8 - y.

Finally, we solve for y by subtracting 8 from both sides and multiplying by -1 to get y = 8 - ln(x).

So, the inverse of the function y = e^(8 - x) is y = 8 - ln(x).

Knowee AI · Accepted Answer

To find the inverse of the function y = e^(8 - x), we first need to swap x and y to get x = e^(8 - y).

Next, we need to solve for y.

To do this, we can take the natural logarithm (ln) of both sides to get rid of the exponential on the right side.

This gives us ln(x) = 8 - y.

Finally, we solve for y by subtracting 8 from both sides and multiplying by -1 to get y = 8 - ln(x).

So, the inverse of the function y = e^(8 - x) is y = 8 - ln(x).

Find a formula for the inverse of the function.y = e8 − x