Finding the inverse of a function. Given the function $latex f(x)$, we can find the inverse function $latex {{f}^{- 1}}(x)$ by following these steps: Step 1: First, substitute $latex f(x)$ with y. This helps us to facilitate the rest of the process.

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For each of the following functions find the inverse of the function. Verify your inverse by computing one or both of the composition as discussed in this section. f (x) = 6x

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Challenge Problems 1. Graph the inverse of (Hint: identify the domain of ). 2. Graph the inverse of the function graphed below. 3. Find the inverse of the function . 4. Find the error in the

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Practice the relationship between the derivatives of inverse functions: if f and g are inverse functions, then f’(x)=1/(g’(f(x)). If you're seeing this message, it means we're having trouble loading external resources on our website.