For what value of the constant c is the function f continuous on the interval (−[infinity],[infinity]). f(x)={cx2+6x, x 3−x, x< 2 x≥2

-3/2

The problem:

Find so the function is continuous.

Please read my interpretation of the problem above.

Step-by-step explanation:

If we want continuous at , then we want the following things:

(This means the left and right limits at need to equal.)

Of course the limit and need to both be a number.

So we want to basically solve the following equation:

Subtract 12 on both sides:

Divide both sides by 4:

Reduce:

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,                                                                    

c

step-by-step explanation: