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Given the function rule f(x) = x^2 - 3x + 2, what is the output of f(-2)

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Lemonyid
f(-2) = -2 ^ 2 - 3 * -2 + 2
f(-2) = 4 - (-6) + 2
f(-2) = 10 + 2
f(-2) = 12

Answer:

The output value of f(-2) is, 14

Step-by-step explanation:

Given the function:

[tex]f(x) = x^2-3x+2[/tex]             ......[1]

We have to find the output of f(-2).

Substitute x = -2 in [1] we have;

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

⇒[tex]f(-2) = 4+6+2[/tex]

Simplify:

[tex]f(-2) = 12[/tex]

therefore, the output value of f(-2) is, 12

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