1. If f(x) = 2x − 3 and g(x) = −x2 + 5, then find f(g(x)).
2. Determine whether the inverse function of f(x) = 4√3x + 4 exists. If it does, find the domain of the inverse function.
3. Find the domain and range of f(x) = x2 + x + 1
x.
4. Sketch the function:
• y = csc x
• What is the period of csc x?
• What lines are asymptotic of csc x?
• At what points do the graphs of y = sin x and y = csc x intersect ?
2. Determine whether the inverse function of f(x) = 4√3x + 4 exists. If it does, find the domain of the inverse function.
3. Find the domain and range of f(x) = x2 + x + 1
x.
4. Sketch the function:
• y = csc x
• What is the period of csc x?
• What lines are asymptotic of csc x?
• At what points do the graphs of y = sin x and y = csc x intersect ?