16-week Lesson 32 (8-week Lesson 26) Finding the Inverse of an Exponential or Logarithmic Function 7 Example 7: List the domain and range of the function (𝑥)= 𝑥+3. Then find its inverse
Solve Nows!Steps to Find the Inverse of an Exponential Function STEP 1: Change f\left ( x \right) f (x) to y y. \large {f\left ( x \right) \to y} f (x) → y STEP 2: Interchange \color {blue}x x and \color {red}y y
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Step 1: Enter the function below for which you want to find the inverse. The inverse function calculator finds the inverse of the given function. If f (x) f ( x) is a given function, then the
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y = e x 1 + 2 e x = 1 e − x + 2. multiply by − 1 exponentiate add 2 reciprocal. So the inverse is: reciprocal subtract 2 take logarithm multiply by − 1. (Two of the steps are their own inverses.)
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3 Answers. Sorted by: 1. If y = 3 − x, you are correct that we can find x by taking a base 3 logarithm: log 3 y = log 3 3 − x = − x log 3 3 = − x. Or upon rearrangement, x = − log 3 y. Hence
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