2 years ago

Find the domain of the function (ƒ • g)(x) where ƒ(x) = 2x2 + x, g(x) = 5x – 1

1 answer:

7 0

Not sure if that's a multiplication or a composition. It doesn't matter. Both f and g have a domain of all real numbers. The domain of

$( f \circ g)(x)=f(g(x))$

is the same as the domain of g(x), all real numbers

Answer: all real numbers

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MrRissso [65]

Answer:

The faster train goes 60mph

Step-by-step explanation:

s= speed

s+20 is the faster train.

Then you are given:

200/s+s+20=2

200=2*(2s+20)

4s+40=200

4s=160

s=40 is the slower train

40+20= speed of faster one

s=60 ;)

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3 years ago

Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.

KengaRu [80]

We have the following expression

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})$

This is equivalent to

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})$

Since

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we have that

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})$

Therefore, the answer is the second option from top to bottom.

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11 months ago