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simoncastro1
20.12.2019 •
Mathematics
If g (x) = startfraction x + 1 over x minus 2 endfraction and h(x) = 4 – x, what is the value of (g circle h) (negative 3)?
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Ответ:
Step-by-step explanation:
Given that
and h(x) = 4 - x
Now, if y = f(x) and y = g(x) then the composite function (f∘g)(x) is given by f[g(x)].
Hence, (g∘h)(x) =
.......... (1)
Now, from equation (1) we get,
(g∘h)(x) =![\frac{5 - x}{2 - x}](/tpl/images/0427/4489/84260.png)
⇒ (g∘h)(- 3) =
(Answer)
Ответ:
126 people
Step-by-step explanation:
Given that, ratio of people who preferred tea to those who preferred coffee = 9:5
Let number of people who preferred coffee = x
Number of people who preferred tea = x + 36
Total number of people in survey = x + (x+36)
Ratio of people who preferred tea to those who preferred coffee = (x + 36)/x = 9/5
Cross multiply to solve for x
5(x + 36) = x(9)
5x + 180 = 9x
Subtract 5x from both sides
180 = 9x - 5x
180 = 4x
Divide both sides by 4
180/4 = x
45 = x
x = 45
Number of people who preferred coffee = x = 45
Number of people who preferred tea = x + 36 = 45 + 36 = 81
Total number of people in the survey = x + (x + 36) = 45 + 81 = 126 people