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Practice Set 14: Functions and Conics For the following functions, find both f(g(x)) and g(f(x)). Simplify your answers 2 1. f(x) = = xº + 1, g(x) = Vx + 2 = 2. Given the functions f(x) = 1 and g(x) = x – 3, find the following a. (fog)(x) b. the domain of (f o g)(x) c. (14)(x) d. the domain of ($)(x) Graph problems 3-6 using the methodology for graphing functions with g transformations. х 3.f(x) = (-5) = 4.g(x) = Ķ 1 = 2 х 5 5. f(t) = 1 - = x x-3 6.h(x) = 2X-3 – 5 = (More on next page)
2 7. Identify the conic section from the equation 2 9x 36x 964 – 36 36 = 0 4x + 10y – 7 = 0 a. 16y? b. x² + y 2 2 = 2 - C. y = x? y 2x + 3 d. 25x + 9y² = 225 = 2 2 8. Solve the nonlinear system of equations using the substitution, elimination/addition, and graphing methods x + y = 16 = x – 2y 2 2 2 = 8
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