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Temka [501]
2 years ago
8

OLLEGE

Mathematics
1 answer:
Sophie [7]2 years ago
8 0

<u>Part 1</u>

<u />(f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is \boxed{[0, \infty)}

<u>Part 2</u>

<u />(g \circ f)(x)=g(4x+1)=\sqrt{4x+1}

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}

Thus, the domain in interval notation is \boxed{\left[-\frac{1}{4}, \infty)}

You might be interested in
The weight of water is 62 1/2 per cubic feet. Water that weighs 325 lbs will fill how many cubic feet
yulyashka [42]

Water that weighs 325 lbs will fill 5.2 cubic feet.

Step-by-step explanation:

This is a simple question of cross multiplication

<u>DATA:</u>

<em>1. The weight of water for 1 cubic feet is 62.5</em>

<em>2. The weight of water for 'X' cubic feet is 325 </em>

<em>3. To find x, form an equation:</em>

Cubic feet : Weight of water

     1           :         62.5

     X           :         325

<em>4. Cross multiply</em>

X x 62.5 = 1 x 325

62.5X = 325

<em>5. Make X the subject</em>

X = \frac{325}{62.5}

<em>6. Solve to find X</em>

X = 5.2 cubic feet

Therefore, water that weighs 325 lbs will fill 5.2 cubic feet.

Key words: Conversion

Learn more about conversions at

  • brainly.com/question/1548911
  • brainly.com/question/555814
  • brainly.com/question/4837736

#LearnwithBrainly

4 0
3 years ago
Simplify 12y^7/18y^-3. Assume y=0
gulaghasi [49]

Answer:

its the third one i got that

6 0
3 years ago
Read 2 more answers
Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know x = 6 & kx = 7.2

Substituting 6 for x in the equation kx = 7.2, we get 6k = 7.2.

Dividing 6 on both sides\frac{6k}{6}=\frac{7.2}{6}

Simplifying fractions on both sidesk=1.2

Point A from the diagram is (-3, 3)

x-coordinate of A' = kx=1.2 * -3 = -3.6

y-coordinate of A' = ky =1.2*3=3.6

Point A' is given by (-3.6, 3.6)

Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

6 0
3 years ago
Read 2 more answers
I need help ASAP can someone please help me right away​​
zysi [14]

Answer:

Smallest number would be 1^o

Step-by-step explanation:

Now with this one I can see the question now and the smallest* number of degrees to tilt it would be 1 degrees.

Have a good day. :)

Hope this helps!

<u>(brainliest would be appreciated)</u>

8 0
3 years ago
2. Al and Ike decide to drive to Sandy Shores Lake. As they leave home in Summerville, they notice that the car odometer reads 1
Lilit [14]
When they leave home, odometer reads 12,544.....when they arrive in Winterton, the odometer reads 12,671.....this means they have already driven (12,671 - 12,544) = 127 miles.....and now they have 48 more miles to go......so the trip to Sandy Shores from Summerville is (127 + 48) = 175 miles
6 0
3 years ago
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