Problem 4 (20pts) Consider the equation f(x) = 3+ + 4. a. (10 pts) Use words and sentences to describe how the graph of f(r) differs from the graph of y= 3". b. (4 pts) Determine the equation of the inverse of f(r). c. (6 pts) Sketch the graph of the inverse function, f (r). Show all of your work and label all intercepts.Problem 5 (20pts) Let g() = - 1 r +9 + 3. a. (10 pts) What are the domain and range of g(x)? Explain your reasoning. b. (10 pts) Use words and sentences to describe the end behavior of g(r). Explain your reasoning.Ariana Venti believes that sin" (cos(0)) = cos" (sin(0)). Is she correct? Explain why or why not using words and showing work