My question says f(x)=(-5/7)x-3 determine the slope of f^-1(x) without finding the inverse. I think the answer is the slope of f^-1(x)=(-7/5)xThe slope of an inverse function is the reciprocal of the slope of the original function. This means that if the slope of the original function is m, the slope of the inverse function will be 1/m.
To find the slope of an inverse function, take the derivative of the original function, then find the reciprocal of that derivative. This will give you the slope of the inverse function at any given point.
The slope of an inverse function is important because it tells us the rate of change of the inverse function at any given point. This can help us understand the behavior and relationships of the original and inverse functions.
Yes, the slope of an inverse function can be negative. This means that the original function is decreasing while the inverse function is increasing, or vice versa. The sign of the slope depends on the behavior of the original function.
The slope of an inverse function is the reciprocal of the slope of the original function at the corresponding point. This means that if the slope of the original function is positive, the slope of the inverse function will be positive as well. Similarly, if the slope of the original function is negative, the slope of the inverse function will be negative.