Respuesta :

f(x) = |2x-1|-5

f(x) = |2*(x)-1|-5

f(-3) = |2*(-3)-1|-5 ... replace every x with -3

f(-3) = |-6-1|-5

f(-3) = |-7|-5

f(-3) = 7-5

f(-3) = 2 which is the final answer

Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.

MrRoyal

The value of a function is gotten from the input variable

The value of f(-3) is 2.

We have:

[tex]f(x) = |2x - 1| -5[/tex]

Substitute -3 for x

[tex]f(-3) = |2 \times -3 - 1| -5[/tex]

Multiply 2 and -3

[tex]f(-3) = |-6 - 1| -5[/tex]

[tex]f(-3) = |-7| -5[/tex]

Remove absolute bracket

[tex]f(-3) = 7 -5[/tex]

[tex]f(-3) = 2[/tex]

Hence, the value of f(-3) is 2.

See attachment for the graph of [tex]f(x) = |2x - 1| -5[/tex]

Read more about absolute functions at:

https://brainly.com/question/1389494

Ver imagen MrRoyal

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