Q. The figure shows the graph of a function f(x) which is a semi circle centred at origin

(a) Write the domain and range of f(x)
(b) Define the function f(x)

Dear Student,
Please find below the solution to the asked query:

On x-axis, we have graph from x=-4 to x=4, henceDomain is x-4,4NowNow radius of semi-circle is 4 units and origin is  center, hencfx=42-x2fx=16-x2

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