Answer:
The graph of f(x) passes through (1,1) , (2,1.4...), (3,1.7....),(4,2)......
As, this curve is not linear.
To find the graph of a inverse function if a function is given
As we can see that ,
√1=1
√2=1.414..
√3=1.732..
√4=2
it means, √x=y is f(x).
So, to find the inverse of f(x), follow the procedure
Squaring both sides
Replace x by y and y by x to get inverse of f(x)
So,there will be two inverses of f(x)
1. x=√y
2. x= -√y
Domain of g(x)∈[0,∞], means y≥0.
Option A, 2nd graph below. and Option B. 3 rd Graph below is true regarding graph of g(x).