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2 years ago

Areas of the circles ?

Mathematics

1 answer:

Orlov [11]2 years ago

5 0

Look at the attached picture⤴

Hope this will help u....

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Given f: ℝ → ℝ and : ℝ → ℝ , for the following, find f(g(x)) and g(f(x)), and state the domain.

horrorfan [7]

Answer:

Remember, $(f\circ g)(x)=f(g(x))$ and the range of g must be in the domain of f.

$f(g(x))=f(x-1)=(x-1)^2-(x-1)=x^2-2x+1-x+1=x^2-3x+2$

$g(f(x))=g(x^2-x)=(x^2-x)-1=x^2-x-1$

The domain of f(g(x)) and g(f(x)) is the set of reals.

$f(g(x))=f(\sqrt{x}-2)=(\sqrt{x}-2)^2-x=\sqrt{x}^2-2*2*\sqrt{x}+2^2-x=-4\sqrt{x}+4$

$g(f(x))=g(x^2-x)=\sqrt{x^2-x}-2$

The domain of f(g(x)) is the set of nonnegative reals and the domain of g(f(x)) is the set of number such that $x^2-x\geq 0$

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

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

The domain of f(g(x)) is the set of reals except the 1 and the domain of g(f(x)) is the set of reals except the 1 and -1

$f(g(x))=f(\frac{1}{x-1})=\frac{1}{(\frac{1}{x-1}-1)}=\frac{1}{\frac{2-x}{x-1}}=\frac{x-1}{2-x}$

$g(f(x))=g(\frac{1}{x+2})=\frac{1}{(\frac{1}{x+2}-1)}=\frac{1}{\frac{-x-1}{x+2}}=\frac{x+2}{-x-1}$

The domain of f(g(x)) is the set of reals except 2, and the domain of g(f(x)) is the set of reals except -1.

$f(g(x))=f(log(2(x+3)))=f(log(2x+6))=log(2x+6)-1$

$g(f(x))=g(x-1)=log(2(x-1)+6)=log(2x+4)$

The domain of f(g(x)) is the set of nonnegative reals except -3. The domain of g(f(x)) is the set of nonnegative reals except -2.

3 0

2 years ago

At a computer store, a tablet computer was on sale for 10% off. If the original price of the tablet

kari74 [83]

Answer:

the discounted price by 10% is P(x) = 0.9x. the price minus a $150 coupon is C(x) = x - 150. so, if you go to the store, the item is discounted by 10%, so you're really only getting out of your pocket 90% of that, or 0.9x, but!!

7 0

2 years ago

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An item costs $360 before tax, and the sales tax is $14.40. Find the sales tax rate. Write your answer as a percentage.

klemol [59]

Answer:

4.00%

Step-by-step explanation:

4 0

2 years ago

The Cooking Club made some pies to sell

Valentin [98]

Answer:

There are 9 pies that the club needed to make.

Since we have given that

Number of pies = 4

Number of pieces cut from each pie = 7

So, total number of pieces they needed = 91

Number of pieces from 4 pies =

so, Number of pieces the club needed to make is given by

Since each pie is cut into 7 pieces.

And number of extra pieces needed = 63

So, Number of pies would be

Hence, there are 9 pies that the club needed to make.

5 0

2 years ago

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Meh need answer plez and FAST~

ahrayia [7]

Answer:

I need a question for an answer.

Step-by-step explanation:

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7 0

2 years ago

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