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2 years ago

I need help with Function Operations please

Mathematics

1 answer:

Alex787 [66]2 years ago

3 0

Answer:

Step-by-step explanation:

The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...

$(f\circ g)(x)$

should be interpreted to mean ...

$f(g(x))$

___

To evaluate f(g(6)), we first evaluate g(6):

g(6) = 6² -5 = 31

Then we evaluate the function f using that as its argument:

f(31) = 31 -1 = 30

f(g(x)) = 30

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num

shutvik [7]

Answer:

A. $y=-1.2x+59$

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, $y_{1}=59\textrm{ million}$

Newspapers circulated in year 2014, $y_{2}=47\textrm{ million}$

Let the time $x$ start at the year 2004. So, $x_{1}=0$

For the year 2014, $x_{2}=2014-2004=10$

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59$

Therefore, the equation describing the relationship is: $y=-1.2x+59$

Part B:

For the year 2018, $x=2018-2004=14$

Plug in 14 for $x$ in the above equation and solve for $y$ . This gives,

$y=-1.2(14)+59\\y=-16.8+59\\y=42.2$

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

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2 years ago

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3 years ago

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Mariana [72]

Answer:

Just to start you off the first answer is 66.67

Step-by-step explanation:

You divide the first number by the second number so in this case 800/12=66.67

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2 years ago