Question

need some help to determine whether the function shown below is a now to one function if ifs are onto ton find it's inverse sketch the graph of the function and its inverse on the same coordinate axes give the domain

Answer 1

a)

The given function is

f(x) = 1 + √(x + 4)

The graph of the function is shown below

According to the horizontal line test, a function is one to one if a horizontal line does not cut the graph twice. Looking at the graph, a horizontal line will not cut it twice. Thus,

The function is a one to one function

c) The graph of the function and its inverse is shown below

From the options, the correct graph is

option A