MATHEMATICS HIGH SCHOOL

Let f(x) = x – 4 and g(x)=1/x. The graph of (g o f)(x) is shown below. What is the domain of (g o f)(x)?

all real numbers except x = –4
all real numbers except x = 0
all real numbers except x = 4
all real numbers

Answers

Answer 1

Answer:

Answer:

domain is all real numbers except x=4

Step-by-step explanation:

$f(x)= x-4$ and $g(x)=(1)/(x)$

We need to find (gof)(x)

$(g o f)(x)= g(f(x))$

Plug in x-4 for f(x)

$(g o f)(x)= g(f(x))=g(x-4)$

Now we plug in x-4 for x in g(x)

$(g o f)(x)= g(f(x))=g(x-4)=(1)/(x-4)$

$(g o f)(x)=(1)/(x-4)$

Domain is the set of all x values for which the function is defined

To find out the x values that is undefined we set the denominator =0 and solve for x

$x-4=0, x=4$

When x=4 the denominator becoems 0 that is undefined

So domain is all real numbers except x=4

Answer 2

Answer: Oi-All real numbers except x=4

they would all intersect 0 still

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A hat costs $25. Tax is 8%. How much is the tax on the hat?

Answers

I'm pretty sure 8% tax would be equivilant too 27

$25.00 * 0.08 = 2

There you go sales tax is 2.00 :)

A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles? in cubic inches

Answers

To find out how much wax is needed for the candles we need to figure out the volume of each candle. We know radius r=0.5 inches and height h=3 inches of the smallest candle and we know that the middle candle has r2=2r=1 inch and h2=2h=6 inches and the biggest candle has r3=3r=1.5 inches and h3=3h=9 inches. So now we need the formula for volume: V=pi*r^2*h and we simply plug in the numbers. First candle is V=3.14*(0.5^2)*3=2.355 inches^3. Middle candle: V2=3.14*(1^2)*6=18.84 inches^3. Biggest candle: V3=3.14*(1.5^2)*9=63.585 inches^3. So overall wax needed to create all three candles is V+V2+V3=2.355 inches^3 + 18.84 inches^3 + 63.585 inches^3=84.78 inches^3.

Answer:

First candle is V=3.14*(0.5^2)*3=2.355 inches^3. Middle candle: V2=3.14*(1^2)*6=18.84 inches^3. Biggest candle: V3=3.14*(1.5^2)*9=63.585 inches^3. So overall wax needed to create all three candles is V+V2+V3=2.355 inches^3 + 18.84 inches^3 + 63.585 inches^3=84.78 inches^3.

Step-by-step explanation:

The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Find the width and length.

Answers

$w-the\ width\nl-the\ length\n\nw=l-12\n\nthe\ perimeter\ of\ rectangle:P=2(w+l)\ and\ P=156cm\n\n2(w+l)=156\to\ put\ w=l-12\ to\ equation:\n\n2(l-12+l)=156\n2(2l-12)=156\ \ \ \ |divide\ both\ sides\ by\ 2\n2l-12=78\ \ \ \ \ |add\ 12\ to\ both\ sides\n2l=90\ \ \ \ \ |divide\ both\ sides\ by\ 2\nl=45\n\nw=45-12=33\n\nSolution:the\ width\ equal\ 33cm\ and\ the\ length\ equal\ 45cm.$

A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies? A) The domain is all integers. B) The domain is all even integers. C) The domain is all integers 0 or greater. D) The domain is all integers 10 or greater.

Answers

For the question "A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies?" The correct answer is "The domain is all integers 0 or greater."This is because the equation that models the cost to a member of renting movies is given by y = 10 + 1.5x, where x is the number of movies rented.The domain of a function are the value the independent variable can take, in this case, the values x can take.Each member of the movie rental store has an option of renting from 0, 1, 2, 3, . . . number of movies.

Answer:

B) The domain is all integers 0 or greater.

What is the volume of the a cube with a side of length 11 unitsA. 33 units
B. 121 units
C. 1331 units
D. 14641 units

Answers

The volume of a cube is

(length of a side) x (length of a side) x (length of a side)

usually written as (length of a side)³ or (length of a side) cubed.

If the length of a side is 11 units, then the volume is

(11 units) x (11 units) x (11 units) = 1,331 units-cubed.

None of the choices on the list is correct. The nearest one is 'C'.
It has the correct number but the wrong units.

Volume of a cube is
Volume=length×width×height

Substitute in the value
Volume=11×11×11

Volume=1331

The answer to your question is C. The volume of a cube with a side length 11 is 1331.

I hope this has helped.

What is a trapezium?