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Find the inverse m(x) x²+1

pag di alam ang sagut wag sagutin ok need kuna ngayun to ​


Sagot :

Answer:

First, you have to switch the variables around to find the inverse function, so f(x) = x^2 - 1 becomes x = f(x)^2 - 1. Solving this, we can add 1 to both sides to get x + 1 = f(x)^2. Now we can square root both sides to get f(x) = -sqrt(x + 1) and sqrt(x + 1). We get both the positive and negative values because it’s a square root.

Step-by-step explanation:

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Answer:

[tex]m(x) = {x}^{2} + 1 \\ y = {x }^{2} + 1 \\ x = {y}^{2} + 1 \\ x - 1 = {y}^{2} + 1 - 1 \\ x - 1 = {y}^{2} [/tex]

[tex] \sqrt{x - 1} = \sqrt{ {y}^{2} } \\ \sqrt{x - 1} = y[/tex]

Therefore, the inverse form is

[tex]m ^{ - 1} (x) = \sqrt{x - 1} [/tex]