Question

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

Answer 1

SolutioN:-

`\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`

Answer 2

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

Explanation:

Given function:

f(x) = x² - 4x + 3

Put x = -2

f(-2) = (-2)² - 4(-2) + 3

f(-2) = 4 + 8 + 3

f(-2) = 15

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