Question

Given f(x)=x^2 -3x +4

Find

f(2+h)



Find

f(2+h)-f(2)/h

Answer 1

• h² + h + 2
• h + 1

====================

Given

• Function f(x) = x² - 3x + 4

To find

• f(2 + h),
• [f(2 + h) - f(2)]/h.

Solution

Solve by substitution

Find f(2 + h)

• f(x) = x² - 3x + 4
• f(2 + h) = (2 + h)² - 3(2 + h) = 4 = h² + 4h + 4 - 6 - 3h + 4 = h² + h + 2

Find f(2)

• f(2) = 2² - 2*3 + 4 = 4 - 6 + 4 = 2

Find [f(2 + h) - f(2)]/h

• (h² + h + 2 - 2)/h =
• (h² + h)/h =
• h + 1