If the function `f(x)={{:(k +x, "for " x lt1),(4x+3, "for " x ge1):} ` is continuous at `x=1` then `k=`A. 7B. 8C. 6D. -6

If the function `f(x)={{:(k +x, "for " x lt1),(4x+3, "for " x ge1):} `

1.	If the function `f(x)={{:(k +x, "for " x lt1),(4x+3, "for " x ge1):} ` is continuous at `x=1` then `k=`A. 7B. 8C. 6D. -6
Answer» f (x) is continuous at `x=1.` `therefore underset(x to 1)lim f(x) underset(x to 1^(+))lim f(x)=f" "...(1) ` Hence `underset(x to 1 ^(-1))lim (k+x)=underset(x to 1^(+))lim(4x+3)` `therefore k+1=4(1)+3` `k=7-1` `k=6` Hence, the correct answer from the given alternative is (c ).