APPLICATION Name: Date: 1. Given f(x) = 4x, g(x) =3x*+1and h(x) = %u'f 1 .Determine the value of the following: 29(f(-1)) h(36) [ /8] 2. Given the function f(x) = -2(x 3)*+7: a) Determine the equation of the inverse of the f(x) (do not use the quadratic formula). [ /3] b) Is the inverse of f(x) a function? If not, restrict the domain of f(x) such that its inverse is a function. Include ALL possibilities [ /2] c) Sketch the function f(x) = 2(x 3)? + 7,x = 3, and its inverse on the same graph. [ /2] = ALL GRAPHS MUST BE DONE BY HAND. Drawing tools are acceptable but be precise. USE DIFFERENT COLOURS FOR EACH CURVE d) State the DOMAIN and RANGE of the given [ /2] functions and its inverse (the functions from part c)