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= OGRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined...
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
GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. 8()-+-2 7 h={(-7, 2), (-2, 4), (2, -9), (4, - 7)} Find the following. 8 8 (8 •8')(-1) = 0 x 6 ? * (2) Explanation Check MacBook
Inverse functions:linear, discrete The one-to-one functions g and h are defined as follows. g={(-1, 4), (0, 8), (4, 2), (6, 1), (8, – 1)} h(x)= 4x-3 Find the following. = g 님 Х ? h (non) (1) = 1
The one-to-one functions g and h are defined as follows. g={(-8, 9), (-4, 4), (-3, 5), (9, - 4)} h(x) = 4x-13 Find the following. -1 8 (9) 8 ñ ' () = 0 x 5 ? (?on)(5) 11 0
111 OGRAPHS AND FUNCTIONS Inverse functions: Cubic, cube root The one-to-one function f is defined below. 3 f(x) = =x +4 Find f-'(x), where f- is the inverse of f. -1 (x) =
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
The one-to-one functions g and h are defined as follows. g=((-9, 0), (-3, -6), (0, 3), (5, 7)} h(x)=2x+13 Find the following. $ (0) = 0 olo 1 13 = x 6 ? X h'(x) (5.1)(-4) - 0 The one-to-one functions g and h are defined as follows. g={(-9, 0). (-3, -6), (0, 3), (5, 7)} h(x)=2x+13 Find the following. :"(0) - g OLC x 5 ? (...)(-4) = 0
The one-to-one functions g and h are defined as follows. g={(-7, -8), (0, - 2), (3, 8), (8, -6)} h(x)= 3x + 14 Find the following. х 5 ? (top) (-4) = 0
The one-to-one functions g and h are defined as follows. g={(-5, -4), (1, -6), (3, -8), (5, 3)) h(x)=2x+ 13 Find the following. ? X ()c) = The one-to-one functions g and h are defined as follows. g={(-5, -4), (1, -6), (3, -8), (5, 3)) h(x)=2x+ 13 Find the following. ? X ()c) =
The one-to-one functions g and h are defined as follows. 8(x) = *713 h={(-9, 2), (-7, 7), (2, -8), (3, -3)} Find the following. x 6 ? (64.5)(2) = 0 n'(2) = 0