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White raven [17]
3 years ago
10

Find the domain and range of the function below.

Mathematics
2 answers:
Nana76 [90]3 years ago
7 0

ANSWER

Domain: All real numbers

Range:

[2,  \infty )

EXPLANATION

The given function is

y = 3 {x}^{2}   - 6x  + 5

To find the domain and range of the given function, we complete the square.

y = 3 ({x}^{2}   - 2x  )+ 5

y = 3 ({x}^{2}   - 2x   + 1) + 3(  - 1)+ 5

y = 3 ({x - 1)}^{2}    - 3+ 5

y = 3 ({x - 1)}^{2}   + 2

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

[2,  \infty )

Aleksandr [31]3 years ago
6 0

Answer:

A.

Step-by-step explanation:

You might be interested in
Arithmetic of functions
Rzqust [24]

Its B.

If f(x)=4x+1 and g(x)=x^2-5 then, (\frac{g}{f})(x)=\frac{x^2-5}{4x+1} and x\neq-\frac{1}{4} because if x were -\frac{1}{4} then you would have division by 0.

Hope this helps.

5 0
3 years ago
Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1
vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

\frac{3 }{4} x - 1 =  \frac{4}{3} x - 1

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

3x - 4 = 5 \frac{1}{3}x  - 4

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

9x - 12 = 6 x - 12

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

y =  \frac{3}{4} (0) - 1

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0
3 years ago
Find the value of x for which m||n <br> A:38 B:62 C:103 D:150
Alecsey [184]

Answer:

I think the answer is B= 62  

Step-by-step explanation:

Please mark brainliest and have a great day!

8 0
3 years ago
34 + x = 40<br><br> what does "x" equal? :3<br><br> ~Potato
marissa [1.9K]
Try doing 40 - 34 first:
40 - 34 = 6
Now try 34 + 6
34 + 6 = 40
X=6
~Deceptiøn
6 0
3 years ago
Read 2 more answers
Pls anyone I need answer of this urgent PLEASE
oksian1 [2.3K]

Answer:

Q.#1 is a

Q.#2 is d

Step-by-step explanation:

hope this helps:)

5 0
3 years ago
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