Question

Sí f es una función f (x) = 3x² - 2x + 5, hallar:

a) f (2)
b) f (x + h)

Answer 1

f(x) = 3X² - 2X + 5

a) f(2) = 3(2)² - 2(2) + 5

f(2) = 3(4) - 4 + 5

f(2) = 12 - 4 + 5

f(2) = 13

b) f(X + h)

f(X + h) = 3(X + h)² - 2(X + h) + 5

f(X + h) = 3(X² + 2Xh + h²) - 2X + 2h + 5

f(X + h) = 3X² + 6Xh + 3h² - 2X + 2h + 5

f(X + h) = 3X² - 2X + 6Xh + 3h² + 2h + 5