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

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

dval8258

07.09.2021

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.

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

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

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

y=(x-7)^2

Now, we know that f⁻¹(x)=(x-7)².

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brandiwingard

15.09.2020

the slope of line b is -2. this is because parallel lines share the same slopes, but different y-intercepts.

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