$y= \frac{a}{x-h} +k
\\x=4 \ vertical\ asymptote
\\ Vertical\ asymptote \ can\ be\ found \ from
\\ \\x - h = 0,\ x=h,
\\ \\ so \ h = 4
\\ \\ y= \frac{a}{x-4} + k= \frac{a+kx-4k}{x-4} 
\\Vertical\ asymptote \ can\ be\ found\ as 
\\ \\ \frac{kx}{x} = k.
\\ We\ know\ that\ vertical\ asymptote\ is\ 2,\ so\ k=2.
\\ \\ y= \frac{a}{x-4} + 2
\\ \\ We \ need\ to\ find\ a.\ We\ have\ point\ (5,4),\ that\ belongs\ to\ \\this\ function.\ So,
\\ \\ y= \frac{a}{x-4} + 2
\\ \\4= \frac{a}{5-4} + 2



$

$4= \frac{a}{5-4} + 2
\\ \\ 2= \frac{a}{1} 
\\ \\ a=2
\\ \\ So,\ hyperbola\ has\ formula
\\ \\ y= \frac{2}{x-4} +2$

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A national achievement test is administered annually to 3rd graders. the test has a mean score of 100 and a standard deviation o

BARSIC [14]

Her score on the test was 98.8

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3 years ago

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Given that ​f(x) = x + 4 and ​g(x)​ = x^{2} - x, find ​(f​ + g)(​5), if it exists.

Given that f(x) = x + 4 and g(x) = x^{2} - x, find (f + g)(5), if it exists.