Given f(x)=x" ; n=1,2,3,.......Determine f(m)(x).(a) f(m)(x)=n(n-1)(n-2)......0(b)f(m) (x)=n(n-1)(n-2)......0(c)f)(x)=n(n-1)(n-2)......1

We know, d/dx(xn)= nxn-1 for any real number n.

Answered: Given f(x) = x" ; n=1,2,3,.......…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter11: Rational And Irrational Numbers

Section: Chapter Questions

Problem 23CLR

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1. f(x) = x2 – x + 3 а. f(0) b. f(2) c. (-4) d. f(-2x) 2. f(x) = 7x? + 4x -1 3. f(x) = 7x – 5 a. f(-1/3) b. f(5) c. f(7x?) B. Given f(x) = 2x2 – 3x + 4 and g(x) = 4x – 3, find 4. g[f(x)] 5. (g • f)(1) 6. (f g)(2) 7. (f g)(-1) C. For each of the following transcendental functions, find a. h(0) b. h) c. h(Vx) 8. h(x) = sin 2x 9. h(x) = 2* 10. h(x) = cos x²
d. (4, -2) 3. If f(x) = 2x + 1 and g(x) = then f(g(x)) = ? a. X x-1 b. 4x+2 5x+1 C. d. (2x+1)(x-1) 2.
. Let f(x) = 8x? and g(x) a. Find (f+ g)(x). b. Find (f – g)(x). c. Find (f g)(x). d. Find (2) (x). e. Find (f+ g)(4) f. Find (f – g)(-1) Find (2) (1) g. ||
2. Determine the inverse of each function, then state its domain and range.
B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7 3. g[f(3)]/h(-2) 4. g[h(f(-2)]
7. Which is the domain of the function x + 8 f (x) = + V3 – x – Va +7+ Vx + 3 ? - 2 (a) (-x0, 3) – {2} (b) (-0, 3] (-0, 2] – {3} (-00, 2) – {3} (-0, 3] – {2} (c) (d) (e) |
f(x) = x2 + 7x -24 a. Find f(0) b. Find f(-1) c. Find f(3) 2. f(x) = x+5/x-5 a. find f(4) b. find f(6) 1. c. find f(15) 3. Given f (x) = x2 - x + 16. If f (w) = 12, what is the value of w? 4. Consider the following demand function: d(p) = p2 –15p + 125 %3D a. find d(3) b. find d(7) c. find d(12) 5. Evaluate the following function when w = 4 and z = = 150 + 25w + 15z + wz/10 f(w,z)
-1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D
Suppose that the functions s and t are defined for all real numbers x as follows. s (x) =x-3 t (x) = 3x+3 Write the expressions for (s t) (x) and (s-t) (x) and evaluate (s +t)(3). (s*)(x) = [] (s - t)(x) = D %3D (s + t)(3) = D
3) Do the following operations of functions. a) b) g(n) = n² + 4 + 2n h(n) = -3n + 2 Find (g - h)(1) h(1) = 21 + 1 g(1) = 21 + 2 Find (h – g)(t) c) d) f(n) = n – 5 g(n)= 4n +2 Find (f + g)( – 8) fа) -- 2а - 4 g(a) = a² + 3 Find ( f /g )(7)
If f(1) =5 and f(n) = f(n-1)+2, then f(4) =
B. if f(x) = afa ma f(x) , find 1 (x) = 2*1 2= = (x) اسم .2 c. C. - x-1 (x) = = ---- 2 = (x) اس -2

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Given f(x) = x" ; n=1,2,3,....... Determine f(n)(x). (a) fm) (x)=n(n-1)(n-2)....∞ (b) sol (x)=n(n-1)(n-2).....0 (c) f) (x)=n(n-1)(n-2).....1