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Composition of functions — Homework
Work inside-out to build each composite, then check the domain in two separate steps.
- 1.Let f(x)=4x+1 and g(x)=x-3. Find (f o g)(x).
- 2.Using the same f and g, find (g o f)(x).
- 3.Let f(x)=sqrt(x) and g(x)=x+9. Find (f o g)(x) and state its domain.
- 4.Let f(x)=1/(x+1) and g(x)=sqrt(x). Find (f o g)(x) and state its domain (check both functions).
- 5.Explain, using the previous problem, why it still matters to check the outer function's restriction even when it ends up excluding nothing new.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 3 homework