Question

Find the inverse of the function. y= √x - 4

Answer 1

Answer:

The inverse is $f^{-1}$ (x) = $(x+4)^{2}$

Step-by-step explanation:

(By the way, $f^{-1}$(x) is f negative one of x, like f(x), but inverse)

f(x) = $\sqrt{x}$ - 4 is the same as y = $\sqrt{x}$ - 4

y = $\sqrt{x}$ - 4               start with the equation.

x = $\sqrt{y}$ - 4               switch x and y.

x + 4 = $\sqrt{y}$              add 4 to both sides.

$(x+4)^{2}$ = y             square both sides.

$f^{-1}$ (x) = $(x+4)^{2}$    change y to the inverse f(x) format.

I hope this helps! :)