Answered

IDNLearn.com offers a comprehensive solution for all your question and answer needs. Find reliable solutions to your questions quickly and easily with help from our experienced experts.

Find the difference quotient f(x)−(3)−3 when ()=1+4−5^2. Simplify the expression fully as if you were going to compute the limit as →3. In particular, cancel common factors of −3 in the numerator and denominator if possible. (Use symbolic notation and fractions where needed.)

Sagot :

The difference quotient of the expression will be 4.

How to find the quotient?

f(x) = 5 + 5x + 4x²

f(3) = 5 + 5(3) + 4(3)³

= 56

Now [f(x) - f(3)]/(x - 3) will be:

= (4x² + 5x + 5 - 56)/(x - 3)

= (4x² + 5x - 51)/(x - 3)

= (4x² + 17x - 12x - 5)/(x - 3)

= (4x + 17)(x - 3)/(x - 3)

= 4x + 17

The difference quotient will be:

g(x + h) = 4(x + h) + 17

= [g(x + h) - g(x)]/h

= (4x + 4h + 17 - 4x - 17)/h

= 4h/h

= 4

Learn more about quotient on:

brainly.com/question/673545

#SPJ1

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.