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the sine function is a many-to-one function and therefore has no inverse function.
However if the domain is restricted to -90° ≤ x ≤ 90°
Then the function is one-to-one for this domain
Thus, x is defined as the angle such that - π/2 ≤ x ≤ π/2
5π/6 is therefore outwith the domain
<h2>Answer:</h2>
The vertex of the function is:
(-2,-2)
<h2>Step-by-step explanation:</h2>We are given a absolute value function f(x) in terms of variable "x" as:
We know that for any absolute function of the general form:
the vertex of the function is : (h,k)
and if a<0 the graph of function opens downwards.
and if a>0 the graph of the function opens upwards.
Hence, here after comparing the equation with general form of the equation we see that:
a= -1<0 , h= -2 and k= -2
Since a is negative , hence, the graph opens down .
Hence, the vertex of the function is:
(-2,-2)