From Me > Name: Peyton Composition of Functions (from tables and graphs) NOTES: Let f(x)=2x-1 and let g be defined as follows: x g(x) -3 -6 -2 -1 1 0 1. (fog)(3)= 2. f(g(2))= fg=5 2x-1 3. (gof)(2)= 4. For what value of x is f(g(x)) = 7? 3. 14 2 N 1 5 -3 3 -1 4 7 5. For what value of x is f(g(x))=1? 6. Does $(fog)(10) exist? Explain. 7. What is the domain of 8. What is the range of (fog)(x)=? (fog)(x)=? Let f(x)=x+2 and let g be defined as follows: -3 x -2 -1 0 1 g(x) -4 2 0 -9 -1 1. (fog)(3)= 2. f(g(2))=x+ 3. (gog)(4)= 4. g(f(-4))= 5. For what value of x is f(g(x)) = 2? 6. For what value of x is f(g(x)) = 0? 7. For what value of x is g(f(x)) = -2? 8. Does (fog)(10) exist? Explain. 9. What is the domain of (fog)(x)=? 10. What is the range of (fog)(x)=? 28 33 -2 +2 4