OGRAPHS AND FUNCTIONS Sum, difference, and product of two functions Suppose that the functions g and...
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
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 ?
= OGRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. g(x) = 4x -9 h={(3, 5), (4, - 7), (5, 4), (8, 1), (9, 3)} Find the following. DO 8-'(x) = 0 (es)6) = 0 X Ś ?
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
OGRAPHS AND FUNCTIONS Variable expressions as inputs of functions: Problem type 2 9 The function h is defined as h(x)= 6x² – 7x Find h(x+2). Write your answer without parentheses, and simplify it as much as possible. h (x+2) = 0 X ?
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 s and t are defined for all real numbers x as follows. s(x)=x-6 t(x)= 3x2 Write the expressions for (s – t)(x) and (s·t)(x) and evaluate (s+t)(-3). (s – t)(x) = _______ (s·t)(x) = _______ (s + t)(-3) = _______
OGRAPHS AND FUNCTIONS Finding a difference quotient for a linear or quadratic function f(x+h)-f(x) Find the difference quotient h where h#0, for the function below. F f(x) = -372 -4x+9 Simplify your answer as much as possible. $(x + n) - f(x) h I