WebFor the given functions of each composite functions f and g, find: f of g, g of f, f of f, g of g WebSolution: Given, f (x) = 3x 2 - 2x + 7 We have to find f (-4). Put x= -4 in f (x) f (-4) = 3 (-4) 2 - 2 (-4) + 7 f (-4) = 3 (16) + 8 + 7 f (-4) = 48 + 15 f (-4) = 63 Therefore, f (-4) is 63. Find f (-2) for the function f (x) = 3x 2 - 2x + 7. Summary: f (-2) for the function f (x) = 3x 2 - 2x + 7 is 23.
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WebQ: For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether fand g… Then, determine whether fand g… A: The composite function is defined as one function substitute into another function. WebAll steps. Final answer. Step 1/1. we have given that L = D ( D − 2) and D = d d x. hence L = ( D 2 − 2 D) and we have f ( x) = 1 + 3 x + 2 x e 2 x + 5 e 2 x. now D ( 1) = 0 and D 2 ( 1) = 0. hence ( D 2 − 2 D) ( 1) = 0. and D ( 3 x) = 3 and D 2 ( 3 x) = D ( 3) = 0. inserire grafici in powerpoint
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WebFor the following exercise, find the indicated function given f (x) = 2x 2 + 1 and g (x) = 3x − 5. a. f ( g (2)) b. f ( g (x)) c. g ( f (x)) d. ( g ∘ g) (x) e. ( f ∘ f ) (−2) For the following exercises, use each pair of functions to find f (g (x)) and g (f (x)). Simplify your answers. 13. WebQuestion: Given f(x) = 3x 6 − 5x 5 + x 4 − 5x 3 − 2x 2 + 2: (a) Plot f on the domain x ∈ [−10, 10], y ∈ [−10, 10]. In a print command, indicate how many local extrema and how many inflection points there appear to be. (b) Find f ′ (x) and the approximate critical values (real values only). Plot f ′ in the window x ∈ [−1, 2 ... WebMath Calculus 1. Suppose f is a function satisfying the following conditions: lim f (x)→ ∞, lim f (x)→-∞, lim f (x) = 2, lim_ f (x) = -1 x→3+ x→∞ x→3 x118 f (0) O == -3 f (x) < 0 if x #3 f (x) > 0 if x > 3 f" (x) < 0 if x <3 Draw a possible graph of f (x) with all asymptotes and intercepts clearly labeled. O. 1. modern slant roof shed