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iren2701 [21]
3 years ago
7

Describe whether the relation is a function. explain. (3,6) (4,8) (5,10) (6,9) (7,14)​

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Answer:

It is a function

Step-by-step explanation:

Its a function because the domain does not REPEAT with the range

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90-10y=5x should be the usable equation.
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4 years ago
The median of 2,3,3,4,5,6,6,6,7,9
nekit [7.7K]

Answer:

11/2

Step-by-step explanation:

2,3,3,4,5,6,6,6,7,9

5+6/2

11/2

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6 0
3 years ago
Find f(g(x)). State the domain of the composite function.<br> f(x) = 3x-2/x+1<br> g(x) = x+5/2x-3
AnnyKZ [126]

Answer:

ℝ - {(-2/3),(3/2)}

Step-by-step explanation:

We want the domain of f(g(x)). So, firstly, we have to find the domain for g(x) and, then, for f(g(x)).

- Domain of g(x): Since the expression is a fracion, we must exclude the values of x that make null the denominator. Hence,

g(x)=\dfrac{x+5}{2x-3}\Longrightarrow 2x-3\neq 0\iff \boxed{x\neq\dfrac{3}{2}}

- Domain of f(g(x)): We'll find its expression:

f(x) = \dfrac{3x-2}{x+1}\\\\f(g(x)) = \dfrac{3g(x)-2}{g(x)+1}\\\\f(g(x)) = \dfrac{3\cdot\dfrac{x+5}{2x-3}-2}{\dfrac{x+5}{2x-3}+1}=\dfrac{~~~\dfrac{3(x+5)-2(2x-3)}{2x-3}~~~}{\dfrac{(x+5)+(2x-3)}{2x-3}}\\\\f(g(x)) =\dfrac{3(x+5)-2(2x-3)}{(x+5)+(2x-3)}=\dfrac{3x+15-4x+6}{x+5+2x-3}\\\\\boxed{f(g(x)) =\dfrac{21-x}{3x+2}}

Now, once again, we have to exclude the values of x that make the denominator equals to zero. Thus,

f(g(x)) =\dfrac{21-x}{3x+2}\Longrightarrow 3x+2\neq0\iff \boxed{x\neq-\dfrac{2}{3}}

Lastly, we may write the domanin of f(g(x)):

D(f(g(x)) = \left]-\infty,-\dfrac{2}{3}\right[\cup\left]-\dfrac{2}{3},\dfrac{3}{2}\right[\cup\left]\dfrac{3}{2},\infty\right[

or, just writing in a shorter way:

\boxed{D(f(g(x)) = \mathbb{R}-\left\{-\dfrac{2}{3},\dfrac{3}{2}\right\}}

7 0
3 years ago
What is 3.2 divided by 5?
Illusion [34]
3.2/5 is 0.64
I hope this helps!
3 0
3 years ago
The work that Yi did to find the greatest common factor of 42 and 63 is shown below. Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 Fa
marishachu [46]
Yi left a factor of 63, that is 21.
So the GCF will be 21
5 0
4 years ago
Read 2 more answers
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