UUTUVC vidps O GRAPHS AND FUNCTIONS Evaluating a piecewise-defined function Suppose that the function g is...
= Evaluating a piecewise-defined function Suppose that the function h is defined, for all real numbers, as follows. 2 if x#2 h(x) = 4 if x=2 Find h(-3), n (2), and h (5). n(-3) = 0 8 h (2) = 0 x 5 ? n (5) = 0 2 of 4 Check Explanation Eng
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
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
O GRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions,fand g are defined for all real numbers r as follows. 2 g) 2 and evaluate (g n-. Write the expressions for (g-f)(x) and (g+f(r) and evaluate (g.)(-1). (e11)-D
O GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. g={(-2, 5), (3, - 2), (6, 4), (8, 9)} h(x)= *+9 11 Find the following. 8'(-2) = 0 00 x X 5 ? (non ') (1) = 0
Suppose that the function f is defined, for all real numbers, as follows. f(x) = x-2 ifx#2 4 if x=2 Find f(-3), f(2), and f(5). s(-3) = 0 s(2) = 0 r(s) = 1 Suppose that the function g is defined, for all real numbers, as follows. if x -2 8(x)= 1-4 if x=-2 Find g(-5), g(-2), and g(4). $(-5) = 0 DO s(-2) = 1 8(4) = 1
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 function F & G are defined as follows Suppose that the functions f and g are defined as follows. f(x) = 5-2x? g(x) = 2 - 6x (a) Find ( 2 )(-1). (a) Find (b) Find all values that are NOT in the domain of If there is more than one value, separate them with commas. (b) Value(s) that are NOT in the domain of
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 ?