9. Let f(x) = x + 1. (a) Compute f(0), f(-1),f () and f(v2). (b) For...

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9. Let f(x) = x² + 1. (a) Compute f(0), f(-1),f () and f(v2). (b) For what values of x is it true that (i) f(x) = f(-x)? (ii) f(x + 1) = f(x) + f(1)? (iii) f(2x) = 2f(x)? 10. The cost of producing x units of a commodity is given by C(x) = 1000 + 300x +x?. (a) Compute C(0), C(100) and C(101) - C(100). (b) Compute C(x + 1) - C(x), and explain in words the meaning of the difference. 11. Given the functions f(x) = Vr-1, (a) the domain of f.g and of h, (b) fg, gf, fh, hg and g. g(x) = x' +1 and h(x) = find 12. The weekly cost of producing x units in a manufacturing process is given by the function C(x) = 60x + 750. The number of units produced in t hours is given by x(1) = 50t. Find and interpret Cx(). In Exercises 13 - 15, find the inverse function. x-1 15. ø(x) = x+1 2.x - 5 14. f(1) = Ji+4 13. h(x) 3 16. Sketch the graphs of the following functions (c) y x+1-4 (b) y = x' -4 (a) y = (x- 3) %3! (e) y = 2-(x+2) () y= 3-x- 2| (d) y = Vx+3 %3D (b) y = (x - ) + (g) y = 2- Vx-4 %3D ECON1002 9. Let f(x) = x² + 1. (a) Compute f(0), f(-1),f () and f(v2). (b) For what values of x is it true that (i) f(x) = f(-x)? (ii) f(x + 1) = f(x) + f(1)? (iii) f(2x) = 2f(x)? 10. The cost of producing x units of a commodity is given by C(x) = 1000 + 300x +x?. (a) Compute C(0), C(100) and C(101) - C(100). (b) Compute C(x + 1) - C(x), and explain in words the meaning of the difference. 11. Given the functions f(x) = Vr-1, (a) the domain of f.g and of h, (b) fg, gf, fh, hg and g. g(x) = x' +1 and h(x) = find 12. The weekly cost of producing x units in a manufacturing process is given by the function C(x) = 60x + 750. The number of units produced in t hours is given by x(1) = 50t. Find and interpret Cx(). In Exercises 13 - 15, find the inverse function. x-1 15. ø(x) = x+1 2.x - 5 14. f(1) = Ji+4 13. h(x) 3 16. Sketch the graphs of the following functions (c) y x+1-4 (b) y = x' -4 (a) y = (x- 3) %3! (e) y = 2-(x+2) () y= 3-x- 2| (d) y = Vx+3 %3D (b) y = (x - ) + (g) y = 2- Vx-4 %3D ECON1002