Finding the Inverse Function Algebraically
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- Once we know that a function is one-to-one, it's time to find the inverse. In the inverse, the xxx's and yyy's are switched, and we're going to use that fact in finding the inve…
By Daniel Hu, Benjamin Qi, Jacob Cohen, Anusha Rahman
- (Video) Finding the Inverse of a Function by Brian McLogan In this video by Brian McLogan, you will learn how to find the inverse of a function. Summary Given f(x)=3x−4f(x)=3x-4…
By Anusha Rahman
- Finding the Inverse Function: Algebraically In the last lesson, we learned how to find the inverse of a function by looking at its graph. In this lesson, we’re going to focus on…
By Anusha Rahman
Problems 21
- What is the inverse of the function f(x)=3x−2f(x)=3x-2f(x)=3x−2?
- Let ggg be the inverse of the function f(x)=x3f(x) = x^3f(x)=x3. What is g(x)g(x)g(x)?
- Let ggg be the inverse of the function f(x)=15−4xf(x) = \frac{1}{5 - \frac{4}{x}}f(x)=5−x41. What is g(x)g(x)g(x)?
- We now have the function f(x)=3x−2f(x)=3x-2f(x)=3x−2, and we want to find its inverse. What should be our first step?
- So we know that the function fff is one-to-one. What are some steps we can take to find its inverse?
- Let f(x)=2x+8f(x) = 2x + 8f(x)=2x+8. What is f−1f^{-1}f−1?
- f(x)=x2+8x+16f\left(x\right)=x^2+8x+16f(x)=x2+8x+16. Find f−1(x)f^{-1}\left(x\right)f−1(x).
- Find the inverse of the function. f(x)=3x2+4f(x)=3x^2+4f(x)=3x2+4
- Find the inverse of the function. f(x)=9x−1f(x)=9x-1f(x)=9x−1
- Find the inverse of the function. f(x)=x2−12x+36f(x)=x^2-12x+36f(x)=x2−12x+36
- Find the inverse of f(x)=23x+6f(x)= \dfrac{2}{3}x+6f(x)=32x+6
- Find the inverse of the function: f(x)=−2x+7f(x) = -2x+7f(x)=−2x+7
- Find the inverse of f(x)=3x4x−1f(x)= \dfrac {3x}{4x-1}f(x)=4x−13x
- Find the inverse of f(x)=15x−8f(x)= \dfrac{1}{5x} - 8f(x)=5x1−8
- Find the inverse of the function: f(x)=7−56xf(x)= 7- \dfrac{5}{6}xf(x)=7−65x
- Find the inverse of the function: f(x)=−4+9x3f(x)= \dfrac {-4+9x}{3}f(x)=3−4+9x
- Find the inverse of the function: f(x)=5(x−6)3f(x)= 5(x-6)^3f(x)=5(x−6)3
- Find the inverse of the function: f(x)=x+74f(x)= \sqrt[4]{x+7}f(x)=4x+7
- Find the inverse of the function: f(x)=−2x+73f(x)= \dfrac{-2x+7}{3}f(x)=3−2x+7
- Find the inverse of f(x)=3x3+9f(x)= 3x^3+9f(x)=3x3+9
- Find the inverse of f(x)=x+8f(x) =x+8f(x)=x+8