O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions,fand g...
O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions g and h are defined for all real numbers as follows. g(x)=x-4 h(x)=2x-1 Write the expressions for g-h) (x) and (g-h)(r) and evaluate (g+h) (-2) (g, h)(r) = O ים g- h) (r
OGRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 4x+3 h(x)=x+6 Write the expressions for (h-g)(x) and (h+g)(x) and evaluate (h.g)(3). X (1 + 3)(x) = 1 (h.:)) = 0
O GRAPHS AND FUNCTIONS Composition of a function with itself Suppose that the functions fand g are defined as follows. f(x)--, x#0 g(x)-x2-9 Find the compositions f fand g'g. Simplify. your answers as much as possible. Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the doma Explanation Check
Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x +1 g(x) = 5x Write the expressions for (f.g)(x) and (f+g)(x) and evaluate (f-g)(-1). (fºg)(x) = 0 (f+8)(x) (6-8)(-1) = 0 o X ?
UUTUVC vidps O GRAPHS AND FUNCTIONS Evaluating a piecewise-defined function Suppose that the function g is defined, for all real numbers, as follows. =x+2 if x = -2 g(x) = 3 if x = -2 Find g(-5), g(-2), and g(0). 8(-5) = 0 8(-2) = 0 x I ?
Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x+6 g(x) = x+3 Write the expressions for (g.f)(x) and (g+f)(x) and evaluate (8-8)(3). (9•f)(x) = 1 (+5)(x) = 0 (3-1)(3) = 0 xo?
Suppose that the functions g and h are defined for all real numbers x as follows. g(x)= 3x - 3 h (x)=x-2 Write the expressions for (g+h)(x) and (g:h)(x) and evaluate (g-h)(-1). (8 + n)(x) = 1 (8-2)(x) = 0 (8 - k) (-1) = 0 Х 5 ? Explanation Check 2020 McGraw-Hill Education
Suppose that the functions s and t are defined for all real numbers x as follows. (r)-5r t(r) 3x-2 Write the expressions for (+s)(x) and (-)) and evaluate (t s)X-2). +3)-0 ts(x) s)(x) = (rs)(-2)D
O GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions f and g below, find f(g(x)) and g(x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) X x - 3 = (b) f(x) 6 2 g(x) = 6x =...
O GRAPHS AND FUNCTIONS Composition of two functions: Domain and range, Two functions g and f are defined in the figure below. Domain of Domain of g Range of g Range of Find the domain and range of the composition fog. Write your answers in set notation. Domain of fºg : 11 Range of fºg : 00 X 5 ?