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- To determine if two functions are inverses of each other, you can follow these steps1:
- Evaluate f(g(x)) and simplify. If the result is x, move to Step 2. If not, the functions are not inverses.
- Evaluate g(f(x)) and simplify. If the result is x, the functions are inverses.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Verifying if two functions are inverses of each other is a simple two-step process. f\left ( x ight) f (x), then simplify. If true, move to Step 2. If false, STOP! That means g\left ( x ight) g(x) are not inverses. g\left ( x ight) g (x), then simplify. g\left ( x ight) g(x) are inverses.
www.chilimath.com/lessons/advanced-algebra/verif…To determine if a function has an inverse, we can use the horizontal line test with its graph. If any horizontal line drawn crosses the function more than once, then the function has no inverse. For a function to have an inverse, each output of the function must be produced by a single input.en.neurochispas.com/algebra/how-to-know-if-a-fun…Formally speaking, there are two conditions that must be satisfied in order for a function to have an inverse. 1) A function must be injective (one-to-one). This means that for all values x and y in the domain of f, f (x) = f (y) only when x = y. So, distinct inputs will produce distinct outputs. 2) A function must be surjective (onto).www.khanacademy.org/math/precalculus/x9e81a4f… - People also ask
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