Consider functions f and g below.

Mathematics

1 answer:

dedylja [7]4 years ago

7 0

You need to change the sign of all terms of g(x) and then combine the like terms and simplify your answer.

Step-by-step explanation:

Since the functions f(x) and g(x) are missing in the question, I will explain it with my own example and you can solve it with your functions.

Let f(x)= 2x^2+3x+4

and g(x) = 4x^2+9x-6

We need to find f(x)-g(x)

Solving:

f(x)-g(x)=2x^2+3x+4-(4x^2+9x-6)

f(x)-g(x)=2x^2+3x+4-4x^2-9x+6

f(x)-g(x)=2x^2-4x^2+3x-9x+4+6

f(x)-g(x)=-2x^2-6x+10

So, you need to change the sign of all terms of g(x) and then combine the like terms and simplify your answer.

Keywords: Composite Functions

Learn more about Composite functions at:

#learnwithBrainly

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Need answers fast please

Neko [114]

We halve the diameter of 6 to get a radius of 3, and are given a height of 10. As we have two hemispheres, we can combine them into one sphere, so we would take the volume of a sphere with r=3 and add it to the volume of a cylinder with r=3 and h=10. Volume of a sphere is (4/3)pi*r^3 and volume of a cylinder is pi*r^2*h. Plugging in our values and adding, we get $V= \frac{4}{3} 3^3 \pi +3^2*10 \pi =36 \pi +90 \pi =126 \pi$ . This makes your answer 126*pi inches, which is roughly 395.841 inches.