3. Let f(x)= x + 3x and g(x) = 2x - 3 a. Find f(g(x)) b. What is the domain and range of f(g(x)) ? c. Is f(x)invertible?

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3 Let F X X 3x And G X 2x 3 A Find F G X B What Is The Domain And Range Of F G X C Is F X Invertible 1 (73.04 KiB) Viewed 29 times

3. Let f(x)= x + 3x and g(x) = 2x - 3 a. Find f(g(x)) b. What is the domain and range of f(g(x)) ? c. Is f(x)invertible? Explain. d. Evaluate (f.g)(2) e. Show that g(g-'(x)) = x 4. a. Let z= -3 -3i and zz =-1+3i Find zz, and z, /22. Give your answer in Cartesian form z = x+iy. b. Show that r=4cos 0 and (x - 2)² + y2 = 4 are equations for the same circle. a. i. ii. Find all solutions to the following equations for 0 5x521 2cosxsinx-cosx=0 3sin2x+4=5