Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 3x² - x + 2
To evaluate given values of x, substitute the values of x into f(x)
(a)
f(3) = 3(3)² - 3 + 2 = 3(9) - 1 = 27 - 1 = 26
(b)
f(- 5) = 3(- 5)² - (- 5) + 2 = 3(25) + 5 + 2 = 75 + 5 + 2 = 82
(c)
f(2) = 3(2)² - 2 + 2 = 3(4) = 12
(d)
f(m) = 3m² - m + 2
(d)
f(x + 2) = 3(x + 2)² - (x + 2) + 2 ← expand (x + 2)² using FOIL
= 3(x² + 4x + 4) - x - 2 + 2
= 3x² + 12x + 12 - x ← collect like terms
= 3x² + 11x + 12
