Difference Quotient of f

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 2, Section 2.1

Find [f(x + h) - f(x)]/h, where h cannot be 0.

75. f(x) = 4x + 3

Let me see.

Let x = x + h

4(x + h) - (4x + 3)/h

(4x + 4h - 4x - 3)/h

(4h - 3/h

You say?

You do 81.

f(x) = sqrt{x}

[Eigenvalue]

81.[tex]\frac{sqrt{x+h}-sqrt{x}}{h}[/tex]