You’ve learned about function notation in previous lessons, but could you use function notation to add two functions? how do you think you could simplify f(x) + g(x) if f(x) = 3x + 2 and g(x) = 4x? what about a function of a function such as f(g( how do you think f(g(x)) could be simplified? what situations can you think of where combining functions would be useful?

F(x)+g(x)       Add the two functions g and f
(3x+2)+(4x)
f(x)+g(x)=7x+2

f(g(x))    Put the g function into f
f(4x)
f(4x)=3(4x)+2
12x+2

You could combine functions when you need to find the value of something for two equations. Like finding the total value of tickets sold for adult (f(x)) tickets and children (g(x)) tickets.

Hope this helps :)

Yes, it is a constant function with no slope.