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Vitek1552 [10]
3 years ago
11

If g(x) = x2 + 2, find g(3). 9 8 11 6

Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0

Answer

Find out the value of g(3)  by using the function g(x) = x² + 2 given in the question .

To proof

The function given in the question is

g(x) = x² + 2

Take  x = 3

put x = 3  in the  g(x) = x² + 2

than it becomes

g(3) = 3² + 2

solving the above

we get

g(3) = 9 + 2

g(3) = 11

Thus g(3) = 11  and option (c) is correct .

Hence proved


Varvara68 [4.7K]3 years ago
7 0

Answer: g(3)=11

Step-by-step explanation:

The given function : g(x)=x^2+2, where x is the independent variable.

To find the value of g(3) we need to substitute the value of x = 3 in the given function, we get

g(3)=3^2+2\\\\\Rightarrow g(3)=9+2\\\\\Rightarrow g(3)=11

Therefore, the value of g(3) is 11.

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If f(3) = 15 and f(5) = 45, which of the following could be f(x)?
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3 years ago
In general, the point
Zanzabum

Answer:

we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.

Therefore, the point (0, a) is on the graph of the function f(x) = abˣ

Hence, option (D) is correct.

Step-by-step explanation:

Given the function

f(x) = abˣ

Let us substitute all the points one by one

FOR (b, 0)

y = abˣ

putting x = b, y = 0

0 = abᵇ

FOR (a, b)

y = abˣ

putting x = a, y = b

b = abᵃ

FOR (0, 0)

y = abˣ

putting x = 0, y = 0

0 = ab⁰

0 = a         ∵b⁰ = 1

FOR (0, a)

y = abˣ

putting x = 0, y = a

a = ab⁰

a = a         ∵b⁰ = 1

TRUE

Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.

Therefore, the point (0, a) is on the graph of the function f(x) = abˣ

Hence, option (D) is correct.

8 0
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Jimmy has to choose a coat and hat to wear outside. He has a choice of a red (R) or green (G) coat, and a choice of a blue (B) o
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Answer:

{GB,GY,RY,RB}

Step-by-step explanation:

Given : Jimmy has to choose a coat and hat to wear outside. He has a choice of a red (R) or green (G) coat, and a choice of a blue (B) or yellow (Y) hat.

To Find: What is the sample space for Jimmy's possible winter gear?

Solution :

Sample space : In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.

To Form sample space

If he choose red coat(R) So, with that coat he can wear blue (B) or yellow (Y) hat.

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Now If he choose green (G) coat So, with that coat he can wear blue (B) or yellow (Y) hat.

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So, the sample space for the given situation is  {GB,GY,RY,RB}

Hence the sample space for Jimmy's possible winter gear is {GB,GY,RY,RB}

8 0
2 years ago
Solve for x if z = m - x
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Answer:

x=m-z

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