Suppose f(x)={5x7x+c for x≥9, for x<9. In order to make f(x) continuous for all x in (−[infinity],[infinity]), what number should c be equal to? c= 9 (If there is no possible value of c that makes f(x) continuous for all real x, enter "none".)

Step-by-step explanation:

We have been given a piece-wise function. We are asked to find the value of possible value of c that will make the function continuous for all x in .

We know that a piece-wise function is continuous when right hand side limit is equal to left hand side limit.

To find the value of c that will make function continuous, we need to find the value of c at by equating both side functions as:

Therefore, will make the function continuous for all x in .

step-by-step explanation: