Given the function rule f(x) = x2 – 4x + 3, what is the output of f(–2)?

Question 1

Question 2

$\sf \longrightarrow \: f\:(–2)\: = {x}^(2) - 4x + 3$

$\sf \longrightarrow \:f\:(–2)\: = {( - 2)}^(2) - 4( - 2) + 3$

$\sf \longrightarrow \:f\:(–2)\: = {( - 2)}^(2) - 4 * ( - 2) + 3$

$\sf \longrightarrow \: f\:(–2)\: = 4 - 4 * ( - 2) + 3$

$\sf \longrightarrow \: f\:(–2)\: = 4 - ( - 8) + 3$

$\sf \longrightarrow \: f\:(–2)\: = 4 + 8 + 3$

$\sf \longrightarrow \: f\:(–2)\: = 12 + 3$

$\sf \longrightarrow \: f\:(–2)\: = 15$

Question 3

Answer:

$\huge\boxed{\sf f(-2) = 15}$

Explanation:

f(x) = x² - 4x + 3

Put x = -2

f(-2) = (-2)² - 4(-2) + 3

f(-2) = 4 + 8 + 3

$\rule[225]{225}{2}$

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