Question

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(x))? How do you think f(g(x)) could be simplified? What situations can you think of where combining functions would be useful?

Answer 1

@mathmale

Answer 2

@Directrix

Answer 3

@pooja195

Answer 4

@KamiBug

Answer 5

@DanJS

Answer 6

@confluxepic

Answer 7

@AloneS

Answer 8

@TheProfessor35

Answer 9

Well, often \(f(x)+g(x)\) is expressed as \((f+g)(x)\), and \(f(g(x))\) is expressed as\((f\circ g)(x)\).