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What is the inverse of function f f(x)=√x +7

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MathTutors

Answer: f⁻¹(x)=(x-7)²

Step-by-step explanation:

To find the inverse function, we want to switch the y with the x and vice versa. Then we solve for y.

[tex]y=\sqrt{x} +7[/tex]        [switch y with x and x with y]

[tex]x=\sqrt{y} +7[/tex]        [subtract both sides by 7]

[tex]x-7=\sqrt{y}[/tex]        [square both sides]

[tex]y=(x-7)^2[/tex]

Now, we know that f⁻¹(x)=(x-7)².

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