For what value of the constants A and B is the function (ax+3) continuous for all X if x > 5?

1 Answer
Sep 8, 2016

Answer:

#f(x)=ax+b# is continuous for all Real (in fact all Complex) constant values of #a# and #b#

Explanation:

The question is not clear but I have assumed:

#color(white)("XXX")(ax+3)# was meant to be #(ax+b)#

#color(white)("XXX")#capitalization of #A, B, and X# is irrelevant.
#color(white)("XXX")(A -=a), (B-=b), and (X-=x)#

Any function of the form #f(x)=ax+b# with constant values #a# and #b# is a linear function which is continuous for all values of #x#.
(The limitation #x > 5# does not seem to be relevant).