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Alina [70]
2 years ago
7

Please answer quick brain list on cludded ​

Mathematics
1 answer:
Anettt [7]2 years ago
4 0

Answer:

(-3,-4)

Step-by-step explanation:

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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)? Eigh
brilliants [131]

Answer:

Step-by-step explanation:

Given  g (x) = \frac{x+1}{x-2} and h(x) = 4-x, we are to find (goh)(-3)

First we need to get (goh)(x)

(goh)(x) = g(h(x))\\g(h(x))= g(4-x)\\g(4-x) = \frac{(4-x)+1}{(4-x)-2}\\ g(4-x) =  \frac{5-x}{2-x}\\substitute \ x = -3 \ into \ resulting \ function\\ g(4-x) =  \frac{5-x}{2-x}\\(goh)(-3) =  \frac{5-(-3)}{2-(-3)}\\\\(goh)(-3) =  \frac{8}{5}\\

Hence (goh)(x)\ is \ Eight-fifths

Also given f(x) = x and g(x) = 1/x, we are to find (fog)(x)

(fog)(x) = f(g(x))\\f(g(x)) = f(\frac{1}{x}  )\\ since \ f(x) = x^2, we\ will \ repalce\ x \ with \ \frac{1}{x} \ to \ have;\\ f(\frac{1}{x}  ) =( \frac{1}{x})^2\\\\

f(\frac{1}{x} ) = \frac{1}{x^2}

For the pair of function f(x) = 2/x and g(x) = 2/x

f(g(x)) = f(2/x)

f(2/x) = 2/(2/x)

f(2/x) = 2*x/2

f(2/x) = x

Hence f(g(x)) = x

For the pair of function f(x) = x-2/3 and g(x) = 2-3x

f(g(x)) = f(2-3x)

f(2-3x) = (2-3x-2)/3

f(2-3x) = -3x/3

f(2-3x) = -x

f(g(x)) = -x for the pair of function

For the pair of function f(x) = x/2 - 2 and g(x) = x/2 + 2

f(g(x)) = f(x/2 + 2)

f(x/2 + 2) = f((x+4)/2)

f((x+4)/2) =  [(x+4)/2]/2 - 2

f((x+4)/2) =  (x+4)/4 - 2

find the LCM

f((x+4)/2) =  [(x+4)-8]/4

f((x+4)/2) =  (x-4)/4

Hence f(g(x)) for the pair of function is (x-4)/4

8 0
2 years ago
a vendor sold 25 dozens of mangoes. He was able to sell 3/5 of the total number of mangoes at 15.50 pesos and the remaining at 1
Temka [501]

Answer: 422.5

Step-by-step explanation: To find how many mangoes were sold at 15.50 pesos, find 3/5 of the total number of mangoes. 3/5 of 25 is 15 because 3 (numerator) times 25 (mangoes) divided by 5 (denominator) is 15. 15 times 15.50 (price) is 232.5 pesos. Next we take the remaining mangoes (10) and multiply it by the price (19) to get 190 pesos. Add the sales and you get 422.5 pesos.

4 0
1 year ago
Read 2 more answers
How much interest would be earned on $3,700 in one year if it is invested at 4%?
malfutka [58]
I'd say $148 because you convert the percent into a decimal so
4%= 0.04

Then you multiply $3,700•0.04 = $148

So I'd say the interest earned on $3,700 in one year would be $148
8 0
3 years ago
What is the opposite of 6 on the number line
nevsk [136]
The opposite of 6 on a number line is -6
6 0
2 years ago
Jocelynn paid $3.01 for an item which cost $34.80 before sales tax is applied. If the sales tax remains the same, how much money
dalvyx [7]
Start by finding out the tax percentage which is 3.01 divided by 34.80 which gives us 9% when rounded up. 100*1.09 will give us the answer; The answer is $109. For a precise answer with a precise tax percentage, it would be $108.65.
7 0
2 years ago
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