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

Answer:

Option A

Step-by-step explanation:

Given in the question,

$f(x)=\frac{x-16}{x^2+6x-40}$

$g(x)=\frac{1}{x+10}$

$f(x)+g(x)=\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}$

$=\frac{(x+10)(x-16)+(x^2+6x-40)}{(x+10)(x^2+6x-10)}$

$=\frac{x^2-16x+10x-160+x^2+6x-40}{(x+10)(x^2+6x-40)}$

$=\frac{2x^2-200}{(x+10)(x^2+6x-40)}$

$=\frac{2(x-10)(x+10)}{(x+10)(x^2+6x-40)}$

$=\frac{2(x-10)}{x^2+6x-40}$

$=\frac{2x-20}{x^2+6x-40}$

Therefore, Option A will be the correct option.