What is the inverse of f(x)=x^2 - 2

  -1

f      (x)  =  +√(x + 2)

Step-by-step explanation:

The graph of f(x)=x^2 - 2 is that of a parabola that opens up and has its vertex at (0, -2).   A horizontal test line drawn through this graph intersects the graph in 2 places, which indicates that f(x)=x^2 - 2 per se does not have an inverse function.

However, if we restrict the domain of f(x)=x^2 - 2 to [0, ∞), the graph is the right half of that of f(x)=x^2 - 2.  This part of the graph shows that f(x)=x^2 - 2 on [0, ∞) has an inverse.

To find this inverse algebraically:

1) replace "f(x)" with "y":  y = x^2 - 2

2) interchange x and y:  x = y^2 - 2

3) solve this result for y:  y^2 = x + 2, or y = +√(x + 2)

4) replace this 'y' with the symbol for 'inverse function of x:'

  -1

f      (x)  =  +√(x + 2).  The domain of this function is (-∞, -2].

step-by-step explanation:

step-by-step explanation:

and 90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u

read more on -