Consider the graphs of fx and gx If gx fx k find the value

Consider the graphs of f(x) and g(x). If g(x) = f(x) + k, find the value of k.

Solution

The graph has moved down by 7 units.

Consider x = 3,

f(3) = 1

g(3) = -6

From given data, g(3) = f(3) + k

=> -6 = 1 + k

=> k = -7