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Given that f(x)= k/x+1 + 6/x+2 and f(5)=8, Find the value of k.

User Yiwanmian
by
8.2k points

1 Answer

3 votes

Answer:
k=(300)/(7)

Explanation:

Since we know that f(5)=8, we can plug in x=5 and set that equal to 8 to find k.


8=(k)/(5+1) +(6)/(5+2) [add denominator]


8=(k)/(6) +(6)/(7) [get common denominator]


8=(7k)/(42) +(36)/(42) [add]


8=(7k+36)/(42) [multiply both sides by 42]


336=7k+36 [subtract both sides by 36]


300=7k [divide both sides by 7]


k=(300)/(7)

Now, we know that
k=(300)/(7).

User BladeHal
by
7.5k points

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