(1 point) Determine whether the functions below are invertible. If so, find a formula for the inverse function. If not, enter 'NONE' in the answer blank. a)y=a(x)=4x+1 ? v a'1(y) = 555 b)y = b(x) = x4 ? v b1(y) = as! c)y = 60:) = \\('x2 + 3 ? v c\"(y) = as! d)y = d(x) = 2"\" ? v d_1(y) = (1 point) Suppose a company's profit is a linear function of the number of units of their product that are sold. Selling 4,000 units yields a profit of $19800, and selling 6,000 units yields a profit of $27800. a) Find a formula for P = f(x), the company's profit if x units are sold. f (x) = 555 b) As a real-world interpretation, the slope is: ? v As a real-world interpretation, the Pinfercept is: ? v c) Find a formula for f _1(P). f '1(P) = 555 d) Evaluate f-1 (50, 000). f '1(50, 000) = 555 e) What is a valid real-world interpretation of f "1(50, 000)? ? V (1 point) Let the population of the city Metropolis (in millions) be given by P = f(t) = 0.005:3 + 2.1, where t is the number of years since 1982. a) Evaluate f(40). f(40) = 555 What is a valid interpretation of f(40)? ? v b) Find a formula for f "1(P). [Be sure to use the variable P in your formula]. f '1(P) = 5!! c) Evaluate f "1(40). f-1(40) = 555 What is a valid interpretation of f-1(40)? ? v