Question

Find numbers a and b or k so that f is continuous at every point. \
F(x)= 4x+7 if x<-4
kx+10 if x≥-4

Is -5/2 the correct answer?

Answer 1

4(-4) + 7 = k(-4) - 4

-4k = -5

k = +5/4

Answer 2

4(-4)+7 = k(-4) + 10
-19 = -4k
k = 19/4