What Is the Slope of the Inverse of f(x)?

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The slope of the inverse function f^-1(x) for f(x) = (-5/7)x - 3 is indeed -7/5. This conclusion can be verified by graphing the function and observing its reflection over the line f(x) = x. The constant term -3 does not affect the slope of the inverse. The discussion confirms that understanding the relationship between a function and its inverse is key to determining slopes. Overall, the slope of the inverse function is accurately identified as -7/5.
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:smile: 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)x
Is this correct?
 
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Yes. It is correct. Once again, you can check this by graphing the function and seeing the reflection over f(x) = x
 
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I actually had the same question, where did the -3 go?
 
MaryB, the -3 has nothing to do with the slope.
 

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