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2 years ago

What is the domain of the square root function graphed below?

Mathematics

2 answers:

mina [271]2 years ago

7 0

Answer:

Step-by-step explanation:

because its right

fiasKO [112]2 years ago

3 0

Answer:

The domain is $[3,\infty)$ .

Step-by-step explanation:

Domain is the input to a function. The input to a function is marked along the x axis as the x values are the independent values and thus are in the domain of the function.

From the graph, the function starts at $x = 3$ when the point is (3,1) and then the graph of the moves towards infinity.

So, the domain of the function starts at 3 and move towards infinity.

Hence, the domain include the $x$ values between 3 to infinity including 3.

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Janelle practices basketball every afternoon in the driveway each day her goal is to make four more baskets then she made the da

Alla [95]

She made 62 baskets by day 14. 4×13=52+10=62

5 0

3 years ago

State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle

DENIUS [597]

Answer:

The interval notation for the domain is $[\frac{23}{3},\infty ]$ .

Step-by-step explanation:

Consider the provided information.

It is given that $\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7$

We need to find the value of $f\left(g\left(x\right)\right)$ .

Put the value of g(x) in $f\left(g\left(x\right)\right)$ .

$f\left(g\left(x\right)\right)=f(x-7)$ ....(1)

Now, put x=x-7 in $\:f\left(x\right)=\sqrt{3x-2}$

$\:f\left(x-7\right)= \sqrt{3(x-7)-2}$

$\:f\left(x-7\right)= \sqrt{3x-21-2}$

$\:f\left(x-7\right)= \sqrt{3x-23}$

From equation 1.

$f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}$

The domain of the function is the set of input values for which a function is defined.

Here, the value of $3x-23$ should be greater or equal to 0 as the square root of a negative number is not real.

Domain= $3x-23\geq0$

$x\geq\frac{23}{3}$

The value of x is all real number greater than $\frac{23}{3}$ .

Hence, the interval notation for the domain is $[\frac{23}{3},\infty ]$ .

7 0

2 years ago

Simplify,write equivalent expressions. 1/6(15a+20b)

lutik1710 [3]

1/6* (15a+20b)
= 1/6* 15a + 1/6* 20b (Distributive property)
= 2.5a + 10/3*b

The final answer is 2.5a+ 10/3b

Hope this helps~

6 0

2 years ago

Factor completely 4u^2-28u+49

aleksandrvk [35]

Assignment: $\bold{Factor \ 4u^2-28u+49}$

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Answer: $\boxed{\bold{\left(2u-7\right)^2}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Rewrite $\bold{4u^2-28u+49}$

$\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

[ Step Two ] Apply perfect square formula

Note: Perfect Square Formula: $\bold{\left(a-b\right)^2=a^2-2ab+b^2}$

$\bold{a=2u,\:b=7}$

$\bold{\left(2u-7\right)^2}$

<><><><><><><>

$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

6 0

3 years ago

Which set of ordered pairs represents a function? {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} {(3, –1), (7, 1), (–6, –1), (9, 1

ra1l [238]

A function can't have x repeating any of the same number twice for example the first one (2, -2), (1, 5), (-2, 2), (1,-3), (8,-1) you have two 1's (1,5) and (1,-3) the x is the first number. Now a function can have the same y value. So your answer is (3, -1), (7,1), (-6,-1), (9,1), and (2,-1) you have to have all different x values in order for it to be a function. Hope that helps.

7 0

3 years ago

Read 2 more answers