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Sonja [21]
3 years ago
10

Which expression is equivalent to (f + g)(4)?

Mathematics
2 answers:
ddd [48]3 years ago
3 0

(f + g)(x) = f(x) + g(x) therefore (f + g)(4) = f(4) + g(4)

liberstina [14]3 years ago
3 0

Answer:f(4)+g(4)


Step-by-step explanation:

For any functions f and g on x , the sum of functions (f+g)(x) is equivalent to f(x)+g(x)

OR

(f+g)(x)=f(x)+g(x)

Thus, for x=4 we have

(f+g)(4)=f(4)+g(4)

The expression f(4)+g(4) is equivalent to (f+g)(4)

f(4) and g(4) means that we should find the value of our function when x equals 4.

(f+g)(4) means we should find the value of our function as sum, when x equals 4.

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Step-by-step explanation:

-2x^2-3x+4=0\\\\a=-2\,,\ b=-3\,,\ c=4\\\\\\x=\dfrac{-b-\sqrt{b^2\pm4ac}}{2a}=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(-2)(4)}}{2(-1)}=\dfrac{3\pm\sqrt{9+32}}{-2}\\\\\\x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\qquad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7

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