Notes For Calculus Life Saver

1.3 Combinations of Functions

If f(x)=h(g(x)), then we say that f=h∘g. This is very useful so we need to practice. For example: suppose you have the function

How do we simplify f into several simple functions.

Assume:

gx=x+3, hx=log2x,   jx=5x, kx=tanx, mx=1x

So

If we use the combination sign, we’ll get: