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

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AmityF466464 AmityF466464

29-10-2022
Mathematics

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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

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GiovanaA145566 GiovanaA145566 · Answer 1 · 2022-10-29T20:19:19+02:00

GiovanaA145566 GiovanaA145566

29-10-2022

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

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