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Function defined is one-to-one. Find the inverse algebraically, and then graph both the function and its inverse on the same graphing calculator screen. Use a square viewing window.$f(x)=-3 x+2$
$$f^{-1}(x)=-\frac{x-2}{3}$$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 1
Inverse Functions
Functions
Exponential and Logarithmic Functions
Campbell University
Oregon State University
University of Michigan - Ann Arbor
Lectures
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Okay, so here we have the function f of X is equal to a negative three X plus two. And we want to find members. So we're gonna say that f of X is why is equal to negative three X plus stewed. We're gonna switch the X and the y so we get access equal to negative three. Why, um, plus two. So what are so for? Why now? So we're gonna stay attracted to from both sides. We get X minus two is equal to a negative. Why? We're gonna divide by negative three to get X minus two over and negative three is equal to Why. So we're gonna write this in our embers function. Notation to the Empress function would be a negative. X minus 2/3. Okay, now they want us to Graft is in a graphing calculator. So I graft is on this most and so this is what it would look like. The red born is our main function on the blue. One is the embers. And so that is going to be our answer
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