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Ad libitum [116K]
2 years ago
6

For the real-valued functions f(x)=2x+3 and g(x)=√x-5, find the composition fog and specify its domain using interval notation.

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Find fog

  • fog(x)
  • f(g(x))
  • f(√x-5)
  • 2√(x-5)+3

For real range the domain

  • x-5≥0
  • x≥5

Domain is [5,oo)

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Heeeeeeeeeeeeeeeeelp
Vanyuwa [196]

Answer:

230 cm squared

Step-by-step explanation:

Split the shape into a triangle and a rectangle

The area of a triangle is base x height / 2

20 x 9= 180/2= 90             (9 because you do 16-7 to find height of triangle)

Find the area of the rectangle=

7 x 20= 140

Add them up

140+90= 230cm squared

<em>I hope this helped :)</em>

7 0
3 years ago
Read 2 more answers
Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.
GREYUIT [131]

Answer:

jk

Step-by-step explanation:

8 0
3 years ago
-3(5x-10)=[?]x + [ ]
Setler [38]

Answer:

-15x + 30

Step-by-step explanation:

-3(5x -10)

-15x + 30

7 0
2 years ago
A town's population went from 25,800 to 42,600 in 15 years. What was the percent of changes?
melomori [17]
42,600 - 25,800 = 16800. That is the increase in 15 years.

You then calculate the increase as a percentage of the original population; 25,800.

16,800 / 25,800 * 100 = 65.11%
8 0
3 years ago
Equation of perpendicular line:<br><br> Equation of parallel line:
tamaranim1 [39]

1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

So our perpendicular equation would be y=-3/2x-11

Hope that was helpful. :)

8 0
3 years ago
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