Let f and g be the functions defined by f : R → R+ ∪ {0} with f (x) = x2 and g : R+ ∪ {0} → R with g(x) = √x (where √x is the nonnegative square root of x). What is the function ( f◦g)(x)?

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A: Given:

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A: It is standard form of quadratic equation.

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A:

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A: To form: The interpolating polynomial of degree k that satisfies pjx0=fjx0 for 0≤j≤k

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A:

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A: ANSWER :

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A: I am attaching image so that you understand each and every step.

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A:

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: which are polynomial functions f(x)=4^x  -1 g(x)=7x^4  -10x^2  -9 h(x)=tanx

A: Hi, Thank you for the question. Since you have posted a question with multiple sub parts, as per the…

Q: A quadratic function f is given. f(x) = x2 + 6x + 8 (a) Express f in standard form. f(x) =

A: The given function   f(x) =x2 +6x + 8