Engineering Board Exam Reviewer · Functions: Domain, Composition, and Inverses · medium

If f(x)=2x+1 and g(x)=x2-3, find (f° g)(2).

1. 3
2. 22
3. 9
4. 7

Answer

A. 3

Solution

(f° g)(2)=f(g(2)). g(2)=4-3=1, so f(1)=2(1)+1=3.

More Functions: Domain, Composition, and Inverses questions

1. Find the domain of f(x)=sqrt(x-4).
2. If f(x)=3x2-2x+1, find f(-2).
3. A linear function f(x)=ax+b satisfies f(1)=5 and f(f(1))=11. Find f(3).
4. If f(x)=x/x-1, find f(f(x)).
5. If f(x+1)=x2+3x, find f(x).
6. Find the range of f(x)=x2-6x+11.
7. Find the inverse function of f(x)=2x-3/x+1.

All Functions: Domain, Composition, and Inverses questions