You are given that 8 0 is a point on the graph of y fx Cons

You are given that (8, 0) is a point on the graph of y = f(x). Consider the function g(x) = -f(x) + 6. There is a point on the graph of g(x) such that x = 8. What is the y-coordinate of this point?

Solution

(8,0) is on f(x) means f(8)=0

that means x=8 and y=0 on f(x).

There is a point on the graph of g(x) such that x = 8, means the y coordinate will be g(8).

relation given

g(x) = -f(x) + 6

g(8)=-f(8)+6

g(8)=-0+6

g(8)=6

the y-coordinate of this point is 6