Question

what is the inverse of x^2-4

Answer 1

Answer:

y = $\sqrt{x} + 4$

y = -$\sqrt{x} + 4$

Step-by-step explanation:        

To find the inverse function, swap  

x

x

and  

y

y

, and solve the resulting equation for  

x

x

.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables:  

y=

x

2

−4

y=x2−4

becomes  

x=

y

2

−4

x=y2−4

.

Now, solve the equation  

x=

y

2

−4

x=y2−4

for  

y

y

.

y=

x+4

−

−

−

−

√

y=x+4

y=−

x+4

−

−

−

−

√

y=−x+4

Answer

y=

x+4

−

−

−

−

√

y=x+4

y=−

x+4

−

−

−

−

√

y=−x+4

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