This is a review I have to complete, however, I am having a hard time, I need someone to help me solves these questions by showing me step by step, don't just give me the final answer I need to see and understand how you got the answers, thank you

MAT 150 College Algebra Name: Unit 1 Assessment Part 2 (50 points) I pledge that I will complete these problems by myself using only my notes, desmos.com, and the Lumen interactive textbook and no help from any other person or website. Sign: Read the directions carefully. Explain your thinking or reasoning as you show your work. 1. State the domain for each function below using interval notation. Classify the type of equation to decide how to approach finding the domain. (12 points) a) f ( x) = 4x-7 Type of Function: b) g x =V3x+1 Type of Function: c) h x=x+3 7 -3x Type of Function: Try Another Version of This Question Question 1 Match each graph with the corresponding function type. Cube Root Cubic Q Rationa Absolute Value Square Root Linear *Classify the type of equation (scroll to the bottom of the page)2. Transformations (11 points) a. Write the equation for each of the following functions graphed below: f( x) =i. f( x) =i b. For some function, f x ), describe each of the transformations that take place for -f ( x+2)-5 [you can pick a function you know to be f x) and describe the transformations using that function if that helps you}6x+8 3. For fixt|=x2+5x~4and9[X1'= x (6 points) 3. Calculate f6, b. Calculate gi. 6x+8 Bonus point, what is the domain of g {X}: x Reminder: You do not need to be perfect! Do your best and write down as much as you can. 4. For f x)=x+7and g x)=x-3 (9 points) a. find fi b. Are the two functions, f (x)Ag x) inverses of each other? Use at least one sentence to explain your answer (no sentence, no points)5. For the function f (x =x - 4 (12 points) a. If the point (2, 4) is on the graph of f (x), what is the corresponding point on the graph of the inverse function, f(x)? The corresponding point on the inverses function is: b. Find the inverse of the function f (x)=x3-4 algebraically: you must show each step in your work c. Show that they are inverse functions by finding fi You must show all of your work (at each step)) in order to receive credit