If `f(x) = -5/7x-3` ` ` determine the slope of `f^(-1)(x)` without finding the equation `f^(-1)(x)` explicitly
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The inverse of a function is the reflection of the function in the line `y=x`.
The two gradients (slopes) multiply together to give the slope of the line
`y=x`, which equals 1.
Therefore `f' (f^(-1))' =1`
If the slope of `f` is `-5/7` then the slope of the inverse function`f^(-1)` is
`1/((-5/7)) = -7/5`
The slope of f^(-1) is one over the...
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