math 30-1 #3-4-5 and NR #5

3. State the domain and range of f(x) if h(x) = f(x) + g(x) and h(x) = x2 +x-1 when g (x) = 2x + 1. A. x 2 7 , 1 2-7 B. x 2 7 , YER C. x ER, y 2 - _9 4 D. XER, y ER Hint: Graph h(x) and g(x), then subtract function values to determine the graph of f(x). 4. Identify the false statement. A. if h ( x) = 8(x) + 8(x), then 28(x) = h(x) B. if h ( x ) = f ( x ) + 8 (x), then g (x) = f(x) - h(x) C. if f ( x ) - 8 ( x) = h (x), then g (x) = f(x) - h(x) D. if f ( x) + 8 ( x) = h (x), then f(x) = h(x)- g(x) Hint: Use algebra to rearrange the terms in each statement. Numerical Response 2. The graph of the function h(x) = (&f )(x) passes through the point (2, k), the graph of g(x ) passes through the point (2, - 4), and the graph of f(x) passes through the point (2, - 3). The value of k is Hint: Focus on the y-values only. 5 . If f(x ) = 2x2+ 2, then f(f(x) ) = A. 8x4 + 16x- + 10 B. 4x 4 + 8x2 + 10 C. 8x * + 10 D. 4x4 + 10