In Worksheet: (Topic 1. 12) ime X X -4 -3 -2 -1 0 2 3 4 8 9 f (x) 0 1 3 -5 -1 -3 5 2 -2 -6 Selected values of the continuous function f(x) are shown in the table above. Use the values in the table to answer the following. 1. Let g(x) = 3f (x +2) -1. (a) Find g (1). (b) Find g(-2). (c) If g (k) = -7, find k. 3 = 3 FCX+ 2 ) - 1 - 2 = 3 6 ( X + 2 ) 2. Let h(x) = 5 -f(2x). (a) Find h(2). (b) Find h(0). (c ) Find h-1 ( 4 ) (inverse ) h ( 2 ) : 5 - F( 2(2 ) nco ) = 5- f( 2(0 ) fCO 5- 2 5+ 1 n ( 2) = 3 h co ) = 6 3. Let p(x) be the function that results from applying three transformations to the graph of f in this order: a horizontal dilation by a factor of 3, a reflection over the x axis, and a vertical translation by - 4 units. (a) Find p(3). (b) Find p(-6). (c) If p(x) = f(x), find x. p ( x ) = - f ( x -31 ) - 4 4. Let m(x) = af(bx) + c, where a, b, and c are positive constants. The graph of m can be constructed by applying three transformations to the graph of f in this order: a horizontal dilation by a factor of 5, a verti dilation by a factor of 5, and a vertical translation by 3 units. (b) Find m(4). (c) If m(k) = 0, find k (a) Find m(-2)