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Dmitry [639]
2 years ago
11

For all values of x, f(x) = x^2 + 1 and g(x) = x-5

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

<u><em>Step(ii):-</em></u>

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

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2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apa
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Answer: the rate of speed for train A is 66 miles per hour.

Step-by-step explanation:

Let x represent the speed of train B.

2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

Distance = speed × time

Distance travelled by train A after 4 hours is

4(x - 16) = 4x - 64

Distance travelled by train B after 4 hours is

4 × x = 4x

Since the total distance travelled by both trains is 720 miles, then

4x - 64 + 4x = 720

8x = 720 - 64 = 656

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3 years ago
Which inequality statement describes the two numbers on a number line? "16 and a number 10 units to the left of 16" A) 6 &gt; 16
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Step-by-step explanation:


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lorasvet [3.4K]

Answer:

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Step-by-step explanation:

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If you don't have a calc, use KCF:

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