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Valentin [98]
3 years ago
7

3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3

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Say a certain service industry has 78.9 thousand jobs in 2003, but expects to increase at an average annual rate of 2.65 thousan
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Answer:

33%

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In 2003, there were 78.9 thousand jobs in the industry and it increases annually by 2.65 thousand jobs from 2003 to 2013.

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4 0
3 years ago
Theo made a donation to a charity. His grandfather agreed to add $4.00 to Theo's donation amount and then donate half of that su
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-2            -2

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x = 4.50

Plugging back in:

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Step-by-step explanation:

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