Mathematics: What is the best approximation for the input value when f(x)=g(x)?

What is the best approximation for the input value

Ответ:

rebtav

08.01.2022

x=0 and x=1 .

Step-by-step explanation:

If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where f(x)=g(x) , we just have to equalize them and find the solution for that equation:

$x^{2}=\sqrt{x} \\(x^{2} )^{2}=(\sqrt{x} )^{2}\\x^{4}=x\\x^{4}-x=0\\x(x^{3}-1)=0\\$

So, applying the zero product property, we have:

$x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1$

Therefore, these two solutions mean that there are two points where both functions are equal, that is, when x=0 and x=1 .

So, the input values are x=0 and x=1 .

What is the best approximation for the input value when f(x)=g(x)?

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Ответ:

jakobrobinette

28.05.2021

Mathematics

$2194

Step-by-step explanation:

If this does not help you im sorry! :(

hope this helps u

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What is the best approximation for the input value when f(x)=g(x)?

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