Question

The graph of f(x) is shown below. where is f(x) < 0? write your answer in interval notation.

Answer 1

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).