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Anarel [89]
2 years ago
10

Consider the following functions f(x)=2^x/2 G(x)= square root of x-3

Mathematics
2 answers:
nevsk [136]2 years ago
5 0

Answer:

(f+g)(x)=(2^{x} +x-3)^{\frac{1}{2} }

Step-by-step explanation:

I assume you are asking about the question on edmuntum that wants (f+g)(x)?

in that case 2^{\frac{x}{2} } can be rewritten as (2^{x})^{\frac{1}{2} } and \sqrt{x-3} can be rewritten as (x-3)^{\frac{1}{2} }.

Now all that needs to be done is grouping all the terms in the same parentheses and adding in an addition sign to get (2^{x} +x-3)^{\frac{1}{2} }.

CaHeK987 [17]2 years ago
3 0
<h2>Explanation:</h2>

I don't know what your question, but I'll assume you want the composition of two functions.

Remember that:

The \ \mathbf{composition} \ of \ the \ function \ f \ with \ the \ function \ g \ is:\\ \\ (f \circ g)(x)=f(g(x)) \\ \\ The \ domain \ of \ (f \circ g) \ is \ the \ set \ of \ all \ x \ in \ the \ domain \ of \ g \\ such \ that \ g(x) \ is \ in \ the \ domain \ of \

f(x)=2^\frac{x}{2}} \\ \\ g(x)=\sqrt{x-3}

Suppose in this case you want (g \circ f)=g(f(x)), then:

g(f(x))=\sqrt{2^\frac{x}{2}-3}

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