The actual inverse function is:
And the domain is [0, ∞).
<h3>Where is the mistake?</h3>
Remember that for a given function f(x) with a domain D and a range R.
For the inverse function, f⁻¹(x) the domain is R and the range is D.
Here, for the given function the domain is x ≥ 3 and the range is [0, ∞).
Then for the inverse function, which is:
(to check this, you must have that):
The domain will be [0, ∞) and the range x ≥ 3
If you want to learn more about inverse functions:
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Answer:
The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.
Step-by-step explanation:
The given function is
To find the points which lie on the function, put difference values of x in the given function and find the values of y.
Put x= -2
Put x= -1
Put x= 0
Put x=1
Put x= 2
The table of values is shown below.
Plot these points on a coordinate plane and connect them by a free hand curve.
The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.
The graph of function is shown below.
