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In Problems 1–20 find either F(s) or f(t), as indicated.
20.
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Differential Equations with Boundary-Value Problems (MindTap Course List)
- 1. If f(x) is a function such that f(1) = 2, f(n + 1) = (3f(n)+1)/3 for n = 1, 2, 3, ..., what is the value of f(100)?arrow_forward1. 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 x²arrow_forward6. (x – 1)³ + 4(x – 1)²y = x + 1.arrow_forward
- 4. Let f(x) = (6x – 1 if x 0* Find the indicated function values. (a) f(-3) (b) f (0) (c) f(4)arrow_forwardIn Problems 11–20, for the given functions f and g. find: (a) (f° g)(4) (b) (g•f)(2) (c) (fof)(1) (d) (g ° g)(0) \ 11. f(x) = 2x; g(x) = 3x² + 1 12. f(x) = 3x + 2; g(x) = 2x² – 1 1 13. f(x) = 4x² – 3; g(x) = 3 14. f(x) = 2x²; g(x) = 1 – 3x² 15. f(x) = Vx; 8(x) = 2x 16. f(x) = Vx + 1; g(x) = 3x %3D 1. 17. f(x) = |x|; g(x) = 18. f(x) = |x – 2|: g(x) x² + 2 2 x + 1 x² + 1 19. f(x) = 3 8(x) = Vĩ 20. f(x) = x³/2; g(x) = X + 1'arrow_forward.2 Suppose f(x) = Vx +7 and g(x) = x+n. If f(g(3)) = 8, what is the value of g(n)? g(n) = (Simplify your answer. Type an integer or a fraction)arrow_forward
- 4. If g(x) = 3(x-1)² – 4, determine the value of the defendant variable g(3) - 7.arrow_forwardf(x + h) – f(x) Aln Problems 75–82, find the difference quotient of f; that is, find ,h + 0, for each function. Be sure to simplify. 75. f(x) = 4x + 3 1 76. f(х) 3D-Зх +1 77. f(х) — х - х +4 78. f(x) = 3x² – 2x + 6 1 79. f(x) = = 80. f(x) 81. f(x) = Vĩ 82. f(x) = Vx + 1 %3D x +3 [Hint: Rationalize the numerator.]arrow_forward1 12. f(x) = - X -+ 1 x+1arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage