Question

Select the correct answer.

Consider functions fand g.
16
f(t) = 72 7 67 – 40
for x = -10 and x + 4
g(x)
+ 10for + -10
Which expression is equal to f(x) + g(x)?
Ο Α.
ОВ.
21 - 20
12 + 61 -40
I - 15
2 + 61 - 40
21 - 12
12 + 6.1 – 40
1 - 15
12 + 71 - 30
OC.
OD
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Answer 1

Option A

Explanation:

Given in the question,

`f(x)=(x-16)/(x^2+6x-40)`

`g(x)=(1)/(x+10)`

`f(x)+g(x)=(x-16)/(x^2+6x-40)+(1)/(x+10)`

`=((x+10)(x-16)+(x^2+6x-40))/((x+10)(x^2+6x-10))`

`=(x^2-16x+10x-160+x^2+6x-40)/((x+10)(x^2+6x-40))`

`=(2x^2-200)/((x+10)(x^2+6x-40))`

`=(2(x-10)(x+10))/((x+10)(x^2+6x-40))`

`=(2(x-10))/(x^2+6x-40)`

`=(2x-20)/(x^2+6x-40)`

Therefore, Option A will be the correct option.