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BlackZzzverrR [31]
3 years ago
7

Given f(g(x)) = 15x+1 and f(x) = 5x+1. What is g(x)? Please answer quickly!!

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))".

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A square has a perimeter of 64 inches
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What is 3 divided by 1/5 :(
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The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of
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The volume of the composite figure is 263.76 inches³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is

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The volume of a cone of radius r and height h is

  • V = \frac{1}{3} πr²h ⇒ \frac{1}{3} Bh

The volume of a sphere with radius r is

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∵ The figure is made up of a cylinder, a cone, and a half sphere

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ π = 3.14

- Use the rule of the volume of the cylinder above

∴ The volume of the cylinder = (3.14)(3)²(6)

∴ The volume of the cylinder = 169.56 inches³

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ π = 3.14

- Use the rule of the volume of the cone above

∴ The volume of the cone = \frac{1}{3}(3.14)(3)^{2}(4)

∴ The volume of the cone = 37.68 inches³

∵ The radius of the half sphere = 3 inches

∵ π = 3.14

- Use the rule of the volume of the sphere above to find the

   volume of the half sphere

∴ The volume of half sphere = (\frac{1}{2})(\frac{4}{3})(3.14)(3)^{3}

∴ The volume of half sphere = 56.52 inches³

To find the volume of the composite figure add the volumes of the three shapes above

∵ The volume of the composite figure = 169.56 + 37.68 + 56.52

∴ The volume of the composite figure = 263.76 inches³

The volume of the composite figure is 263.76 inches³

Learn more:

You can learn more about the volume in brainly.com/question/12497249

#LearnwithBrainly

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