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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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iVinArrow [24]

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

7 0
2 years ago
It is 4 1/2 miles to the end of the trail. If Sophia bikes to the end and back in 60 minutes, what is her average speed in miles
PtichkaEL [24]
60 minutes for 2 times of 4.5 miles

60 minutes for 9 miles.

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3 years ago
A 15-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house. To the nearest degree, what angle doe
max2010maxim [7]
The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, \alpha, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
Cos \alpha = \frac{adjacent.side}{hypotenuse}
Cos \alpha = \frac{7}{15}
\alpha =arcCos( \frac{7}{15} )
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We can conclude that the ladder make with the ground a 62° angle.
7 0
3 years ago
Consider the limit of rational function p(x)l q(x)
Helga [31]

#1

\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to c}}}\dfrac{p(x)}{q(x)}=\dfrac{0}{1}=0

  • The limit tends to 0
  • Hence c=0

\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to c}}}\dfrac{p(x)}{q(x)}=\dfrac{1}{1}=1

  • Here limit tends to 1
  • Hence c=1

\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to 0}}}\dfrac{p(x)}{q(x)}=\dfrac{1}{0}=\infty

  • Here x tends to infty.
  • c=infty

For the fourth one limit also tends to zero

8 0
2 years ago
Please help 7th grade math
Aleks04 [339]
I think it’s 12 or -12
8 0
2 years ago
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