Question

Find f(a), f(a h), and the difference quotient f(a h) - f(a) h, where h ≠ 0. f(x) = 6 - 7x 5x²?

Answer 1

To find f(a), substitute a for x in the given equation. To find f(a+h), substitute (a+h) for x in the equation. The difference quotient can be found by subtracting f(a) from f(a+h) and dividing it by h.

Step-by-step explanation:

To find f(a), substitute a for x in the given equation:

f(a) = 6 - 7a + 5a^2

To find f(a+h), substitute (a+h) for x in the equation:

f(a+h) = 6 - 7(a+h) + 5(a+h)^2

The difference quotient can be found by subtracting f(a) from f(a+h) and dividing it by h:

f(a+h) - f(a)/h = (6 - 7(a+h) + 5(a+h)^2 - (6 - 7a + 5a^2))/h

Simplify the equation if necessary.