Jackett99
Answered

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Consider functions f and g

Consider Functions F And G class=

Sagot :

mathstudent55

Answer:

A

Step-by-step explanation:

[tex] f(x) = \dfrac{x - 16}{x^2 + 6x - 40} [/tex]

[tex] g(x) = \dfrac{1}{x + 10} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{1}{x + 10} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{(x - 4)}{(x + 10)(x - 4)} [/tex]

[tex] f(x) + g(x) =  \dfrac{x - 16 + x - 4}{x^2 + 6x - 40} [/tex]

[tex] f(x) + g(x) =  \dfrac{2x - 20}{x^2 + 6x - 40} [/tex]

Answer: A

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