12:12 . LTE Gmail g+ . . . -X-3 2. Determine each of the following given the function f(x) = 2 a) f-(2 ) b) f (- 3 ) 3. For each of the following, state two ways to restrict the domain so that the inverse is a function. a) f (x) = (x+ 2)2+3 b ) f (x ) = -(x-2)2 +2 4. If the point (--12, -14) is on the graph of y = f(x) , what points must be on the graph of y=-2f (-2x) -2 5. For the following function, A) Determine the equation for the inverse. B) Determine the domain and range for both. C) Graph f(x) and f(x) Y = x2 - 2 , x 20 6. Determine the equation of fl(x) . State the invariant points F (x) = 2 ( X+ 6) 7. Given f(x) = x a. Graph g(x) = f (x+3) b. Graph the reflection of g(x) along the line y = x c. State the domain and range for both g(x) and its inverse. 8. Given y = (2x - 4)2. Use the language of transformation to describe the transformation done on y = x to obtain the above in two ways.12:12 . LTE Gmail MATH 30-1 ASSIGNMENT#2 (Inverse) 1. State the equation of the inverse. Is the inverse a function? a. Y = x2 - 6x + 5 b. Y = 3x2 + 6x - 11 y= -x-2 C. x -3 2. Determine each of the following given the function f(x) = 2 a ) f- (2 ) b ) f -' ( - 3 ) 3. For each of the following, state two ways to restrict the domain so that the inverse is a function. a) f (x) = (x+ 2 )2+3 b) f(x) = -(x-2)2+2 4. If the point (--12, -14) is on the graph of y = f(x) , what points must be on the graph of y= -2f (-2x) -2 5. For the following function, A) Determine the equation for the inverse. B) Determine the domain and range for both. C) Graph f(x) and f(x) Y = x - 2 , x 20 6. Determine the equation of f(x) . State the invariant points (x+ 6) F(x) = 2 7. Given f(x) = - a. Graph g(x) = f (x+3) b. Graph the reflection of g(x) along the line y = x c. State the domain and range for both g(x) and its inverse