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Neko [114]
3 years ago
14

Find f ∘ g f∘g and g ∘ f g∘f. f ( x ) = x 2 / 3 , g ( x ) = x 9 f(x)=x2/3, g(x)=x9 (a) f ∘ g f∘g (b) g ∘ f g∘f Find the domain o

f each function and each composite function. Domain of f f: all real numbers except x = 9 x=9 all real numbers except x = 3 x=3 all real numbers except x = 2 x=2 all real numbers x x Domain of g g: all real numbers except x = 2 x=2 all real numbers x x all real numbers except x = 9 x=9 all real numbers except x = 3 x=3 Domain of f ∘ g f∘g: all real numbers except x = 2 x=2 all real numbers except x = 3 x=3 all real numbers except x = 9 x=9 all real numbers x x Domain of g ∘ f g∘f: all real numbers except x = 9 x=9 all real numbers x x all real numbers except x = 3 x=3 all real numbers except x = 2
Mathematics
1 answer:
faltersainse [42]3 years ago
8 0
I don’t know it’s soooo long:)
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y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y whe
alina1380 [7]

Answer:

The value of y when the value of x is multiplied by \frac{1}{2} is \frac{5}{8}.

Step-by-step explanation:

According to the statement, we have the following relationship:

y = k\cdot x^{3} (1)

Where:

x - Independent variable.

y - Dependent variable.

k - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}

If we know that y_{1} = y, y_{2} = 5, x_{2} = x_{o} and x_{1} = \frac{1}{2}\cdot x_{o}, then the value of y when the value of x is multiplied by \frac{1}{2} is:

\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}

\frac{5}{y} = 8

y = \frac{5}{8}

The value of y when the value of x is multiplied by \frac{1}{2} is \frac{5}{8}.

5 0
3 years ago
-8m+28=156-12m please help me !!!!
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Answer:

m = 32

Step-by-step explanation:

4 0
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Plz help me I really need it
IrinaVladis [17]

Answer:

i think [after solving] that it is option B and C

Step-by-step explanation:

4 0
3 years ago
Your work<br> START<br> f(x)=2x² – 12x-5
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Answer:

range = (− 23 ,  ∞ )

domain = ( − ∞ ,  ∞ )

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3 years ago
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