Friday

August 1, 2014

August 1, 2014

Posted by **Unknown** on Friday, May 3, 2013 at 9:17pm.

when x<–3 and by the formula

f(x)=2x^2–4x+a

What value must be chosen for a in order to make this function continuous at -3?

- calculus -
**Reiny**, Friday, May 3, 2013 at 10:51pmmmmh, took me a while to understand what the question is asking.

First of all you will need brackets:

f(x) = (6x^3+17x^2+4x+21)/(x+3)

= (6x^2 - x + 7) , where x≠ -3

= (x+1)(6x-7)

we want this to be the same as

2x^2 - 4x + a

If 6x^2 - x + 7 = 2x^2 - 4x + a

4x^2 + 3x + 7 = a

**Related Questions**

Math Calculus - The function f is given by the formula f(x)=6x^3+17x^2+4x+21/x+3...

calculus 2 - Suppose that you can calculate the derivative of a function using ...

Calculus - I'm supposed to find the average value of the function over the given...

Calculus - Given the function" f(x)=1/4x− 3, find a formula for the ...

Calculus - Suppose that you can calculate the derivative of a function using the...

calculus - The function y=f(x) graphed above is assumed to be a vertical shift ...

Calculus Help - The formula C =5/9(F − 32), where F ≥ −459.67...

Calculus - Let f be a one-to-one function whose inverse function is given by the...

calculus - Give a possible formula for the illustrated function using a vertical...

Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...