The function f(x) is defined as follows : `therefore f(x)={:{(4x+a ","x lt 1),(6 ", " x=1),(3x-b","x gt 1):}`
If f(x) is continuous at x=1 , find the value of a and b.

Explanation

To solve the problem, we need to ensure that the function \( f(x) \) is continuous at \( x = 1 \). This means that the left-hand limit as \( x \) approaches 1, the right-hand limit as \( x \) approaches 1, and the value of the function at \( x = 1 \) must all be equal.

The function is defined as follows:
\[
f(x) =
\begin{cases}
4x + a & \text{if } x < 1 \\
6 & \text{if } x = 1 \\
...