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3 years ago

Values for relation g are given in the table which ordered pair is in g inverse

Mathematics

2 answers:

jasenka [17]3 years ago

8 0

According to given table for Relation g, we have following order pairs

(2,2)

(3,5)

(4,9)

(5,13)

Note: Each of first value in coordinate is x and each of the second value in the coordinate is y value.

We need to check the option, which gives an order pair of inverse relation of g.

In order to find inverse relation of a coordinate, we need to switch x and y values of a coordinate.

x value goes in y place and y value goes in x place.

So, the order pairs of inverse relation of given relation of g can be written as

(2,2) --> (2,2)

(3,5) --> (5,3)

(4,9) --> (9,4)

(5,13) --> (13,5).

In the given options, we have first order pair (13,5), which is the inverse of order pair (5,13).

Therefore, correct option is first option (13,5)

fomenos3 years ago

6 0

A function g(x) tells the value of the function based on the value of x.

In the table in the figure we can see that when x = 2 then g = 2, when x = 3 then g = 5, when x = 4 then g = 9, when x = 5 then g = 13.

Inverse of a function tells the x-value when the function's value for that particular x is given.

Hence, in inverse of function g, the x and y values will interchange from the table.

So inverse of the g function will be represented by the pair (2,2) or (5,3) or (9,4) or (13,5).

Option A is (13,5) , which we have indicated above that it represents inverse of g.

Hence, option A is the correct answer.

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3 0

3 years ago

Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

Part 1) $f(g(x))=3(x^2)+2$

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$

$g(x)=x^{2}$

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

$f(g(x))=3(x^2)+2$

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

$g(f(x))=(3x+2)^2$

For x=5

$g(f(5))=(3(5)+2)^2$

$g(f(5))=289$

3 0

3 years ago

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$\bf \begin{cases}
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v=i+3j\implies 1i+3j\implies \ \textless \ 1,3\ \textgreater \ 
\end{cases}
\\\\\\
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