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2 years ago

Let f(x) = 3x - 6 and g(x) = x - 2. Find f(g(5)) - ie. (f o g)(5) and its domain

1 answer:

4 0

Do this by finding g(5) first. Replacing x with 5 in g(x) gives you that g(5) = 3. Now replace that 3 in the x in f(x) to get that f(3) = 3. As far as the domain goes,, they are both lines and the domain for lines is all real numbers.

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A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

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Step-by-step explanation:

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Let f(x) = 3x ­- 6 and g(x) = x ­- 2. Find f(g(5)) - ie. (f o g)(5) and its domain

Let f(x) = 3x - 6 and g(x) = x - 2. Find f(g(5)) - ie. (f o g)(5) and its domain