Question

Determine the values for the pronumerals that make the following piece-wise functions continuous. (I really need help please).​

Answer 1

Explanation:

A function is continuous at x is

Limit as x approaches c= f(c).

Step 1: Find f(4).

4 is defined for 2x-1 so plug in. 4 for x.

`2(4) - 1 = 7`

Note that what we just calculated was not only f(4) but also the left sided limit of f(x).

Step 2: Make sure the left sided and right sided limit are equal to 7.

`a + 5x = 7`

Plug in 4 for x

`a + 5(4) = 7`

`a = - 13`