Math 1304 Name___________________________________ Function Operations and Composition Directions: Please show enough work to justify your answers. Evaluate. 1) Find (f + g)(1) when f(x) = x + 4 and g(x) = x + 5. 1) 2) Find (f - g)(-1) when f(x) = 5x2 - 1 and g(x) = x - 3. 2) 3) Find (fg)(2) when f(x) = x - 4 and g(x) = -4x2 + 15x + 3. 3) f (-2) when f(x) = 3x - 5 and g(x) = 3x2 + 14x + 2. g 4) For the pair of functions, find the indicated sum, difference, product, or quotient. 5) f(x) = 6x - 5, g(x) = 8x - 2 Find (f - g)(x). 5) 4) Find 6) f(x) = 9x2 - 7x, g(x) = x2 - 2x - 35 f Find (x). g 6) Find the requested function value. 7) Find (f g)(-7) when f(x) = -6x + 1 and g(x) = -3x2 - 2x + 8. 7) 8) Find (g f)(9) when f(x) = 7x - 9 and g(x) = 5x2 + 7x + 8. 8) 9) Find (g f)(3) when f(x) = x-6 and g(x) = 2x + 8. 3 9) For the given functions f and g , find the indicated composition. 10) f(x) = 7x + 15, g(x) = 5x - 1 (fg)(x) 11) f(x) = -5x + 2, (gf)(x) 12) f(x) = 7 , x-8 g(x) = 2x + 9 g(x) = 10) 11) 3 2x 12) (fg)(x) 13) f(x) = 4x2 + 2x + 3, (gf)(x) g(x) = 2x - 4 13) B-1 Answer Key Testname: FUNCTIONS 1) 11 2) 8 3) -34 11 4) 14 5) -2x - 3 9x2 - 7x 6) x2 - 2x - 35 7) 751 8) 14,966 9) 6 10) 35x + 8 11) -10x + 13 14x 12) 3 - 16x 13) 8x2 + 4x + 2 B-2