Suppose the function f has xintercept a0 and a function g pa

Suppose the function f has x-intercept (a,0) and a function g passes through the point (a,b). What are the coordinates of the function h(x)=f(x)+g(x) at x=a?

Solution

f has x-intercept (a,0) => f(a)=0

g passes through the point (a,b) =>g(a)=b

h(x)=f(x)+g(x) at x=a

h(a)=f(a)+g(a)

h(a)=0+b

h(a)=b