Suppose that the function f is defined, for all real numbers, as follows. f(x) = x-2...
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 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 ?
= 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
Suppose that the function h is defined, for all real numbers, as follows. J1 if x = 0 h(x) = 12 if x=0 Graph the function h. X 5 ?
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 h is defined, for all real numbers, as follows. Find h(-4), h(-2), and h(-1). h(-4) = _______ h(-2) = _______ h(-2) = _______
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
Suppose that the functionſ is defined, for all real numbers, as follows. 3x+1 fx < -2 x-3 if x 2-2 Graph the functionſ. Then determine whether or not the function is continuous. Is the function continuous? 10 X o Yes NO O X ? 2 8 10 -10 Continue
3. 21-1 Suppose the function F is defined by F(x)= (- d for all real numbers x 20. (a) Evaluate F(1) (b) Evaluate F(1) (C) Find an equation for the langent line to the graph of F at the point where x-1. (d) On what intervals is the function Fincreasing? Justify your answer.
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for all x and y, f(x + y) = f(x) + f(y). (*) (a) (2 points) Name a function that satisfies property (*). Name another that doesn't. Justify your answers. (b) (3 points) Prove that any function that satisfies property (*) also satisfies f(3x) = 3f(x). (c) (5 points) Prove that any function that satisfies property (*) also satisfies f(x - y) = f(x) –...