Define g(7) for the given function so that it is continuous at x = 7.
g(x) = 
Solution:-
The function g(x) = is undefined when the denominator is 0.
So, the function is undefined at x = 7.
can be simplified by dividing numerator and denominator by 4, factoring the numerator, and dividing the common factor in the numerator and denominator.
The graphs of y = and y = x+7 are the same expect that the graph of y = has a hole at x = 7.
This hole can be eliminate by defining g(7) to be the value of x + 7 on the graph of y = x + 7.
Thus , g(7) should be define as 14.