PS1: Problem 18 Previous Problem Problem List Next Problem (1 point) Let f(x) = va + 1 and g(x) = 2x - 4. Find fog and go f, and their respective domains. 1. (fog)(x) 2. What is the domain of f o g? Answer (in interval notation): 3. (go f) (x) = 4. What is the domain of go f ? Answer (in interval notation):PS1: Problem 14 Previous Problem Problem List Next Problem (1 point) Let f(x) = 4x2 + 4x + 2 and let g(h) _ f(1 + h) - f(1) h Determine each of the following: (a) g(1) (b) g(0.1) (c) g(0.01) = You will notice that the values that you entered are getting closer and closer to a number L. This number is called the limit of g(h) as h approaches 0 and is also called the derivative of f () at the point when x = 1. We will see more of this when we get to the calculus textbook. Enter the value of L:PS1: Problem 10 Previous Problem Problem List Next Problem (1 point) For the function f(x) = z2 - 5x, simplify each expression as much as possible. f ( z + h) - f(z) h ,h 0 2. f (w) - f(z) ,Ifw:PS1: Problem 4 Previous Problem Problem List Next Problem g (1 point) Determine the domain of the function f () = 2 + 8x Domain (in interval notation)9r + (1 point) Find the domain and range for the function G(@) = T. Domain (in interval or set notation): Range (in interval or set notation) Note: Click here for information on interval notation