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lilavasa [31]
3 years ago
13

What is the domain of f(x)= 3squareroot x?

Mathematics
2 answers:
Vinvika [58]3 years ago
7 0

Answer:  Domain: x ≥ 0    Interval Notation: x = [0, ∞)

<u>Step-by-step explanation:</u>

f(x) = 3√x

There IS a restriction on x because it is inside the square root symbol.

In order for the radical to be a real number, the expression under the radical must be greater than or equal to 0. The value inside the radical is "x".

So, x ≥ 0       <em> It is already solved for x so no further work is needed.</em>

<em />

Andru [333]3 years ago
5 0

Answer:

x is greater than or equal to 0

Step-by-step explanation:

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3 years ago
If a graph shows the function y=3x what are the coordinates of the intercepts
vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:  

x

=

−

5

3

 

y

intercept:  

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

x

and  

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the  

y

intercept first:

With any function,  

y

intercepts where  

x

=

0

.

Therefore, substituting  

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the  

y

intercept cuts through the point (0,5)

Let's calculate the  

x

intercept next:

Recall that with any function:  

y

intercepts where  

x

=

0

.

The opposite is also true: with any function  

x

intercepts where  

y

=

0

.

If we substitute  

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

5

3

=

x

Therefore, the  

x

intercept cuts through the point  

(

−

5

3

,

0

)

.

Now we have both the  

x

and  

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function  

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}



3 0
3 years ago
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larisa [96]
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Is. = %
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X. = 5
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7 0
4 years ago
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The correct answer is 5
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