Solve the proportion x/6 = 4/5

Mathematics

1 answer:

luda_lava [24]3 years ago

3 0

Answer:

x/6 = 4/5

x(5) = 6(4)

5x=24

x=24/5

Let me know if this helps!

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$(\frac{g}{f})(3)=\frac{-13}{21}\\$

2/3 will not be included in the domain of g/f

Step-by-step explanation:

Given functions are:

$g(x) =-2x^2+5\\f(x)=9x-6$

We have to calculate (f/g)(x) first

The steps will be as follows:

$(\frac{g}{f})(x)=\frac{g(x)}{f(x)}$

Putting the values of functions

$(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}\\We\ have\ to\ find\ the\ value\ of\ (\frac{g}{f})(x)\ at\ 3\\So,\\(\frac{g}{f})(3)=\frac{-2(3)^2+5}{9(3)-6}\\(\frac{g}{f})(3)=\frac{-2(9)+5}{27-6}\\(\frac{g}{f})(3)=\frac{-18+5}{27-6}\\(\frac{g}{f})(3)=\frac{-13}{21}$