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Find the range of the given function y = 5x - 4, where x > 6.

A: {-30, -35, -40...}
B: {31, 36, 41...}
C: {-31, -36, -41...}
D: {30, 35, 40...}

Explain how you got this step by step. a lot of you like to give false answers just for points but I really need help understanding this. Please don't answer if you arent sure Any attempt is appreciated.

Respuesta :

Given:

The function is:

[tex]y=5x-4[/tex]

where [tex]x>6[/tex].

To find:

The range of the given function.

Solution:

Range is the set of output values.

We have, [tex]x>6[/tex]. It means the value of x is greater than 6 but not equal to 6.

The function is

[tex]y=5x-4[/tex]

Putting x=7, we get

[tex]y=5(7)-4[/tex]

[tex]y=35-4[/tex]

[tex]y=31[/tex]

Putting x=8, we get

[tex]y=5(8)-4[/tex]

[tex]y=40-4[/tex]

[tex]y=36[/tex]

Putting x=9, we get

[tex]y=5(9)-4[/tex]

[tex]y=45-4[/tex]

[tex]y=41[/tex]

So, the range of the given function is {31, 36, 41...}.

Therefore, the correct option is B.

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