Solve the following problems.
1. If the length and width of a rectangular lot in functions are L(x) = x + 5 and W(x) = x + 1 respectively, What will be the area of rectangular lot in function?
2. If the area of a rectangle in terms of x represent by a function f(x) = 3x³ + 8x² + 4x-8 and the width is g(x) = x + 2, What is the length of a rectangle in function?
1. If the length and width of a rectangular lot in functions are L(x) = x + 5 and W(x) = x + 1 respectively, What will be the area of rectangular lot in function?
2. If the area of a rectangle in terms of x represent by a function f(x) = 3x³ + 8x² + 4x-8 and the width is g(x) = x + 2, What is the length of a rectangle in function?
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Answer:
1. L(x) • W(x)
[tex] = (x + 5)(x + 1) \\ = {x}^{2} + 5x + x + 5 \\ = {x}^{2} + 6x + 5 \\ \\ \\ [/tex]
2. f(x)•g(x)
[tex] = (3 {x}^{3} + 8 {x}^{2} + 4x - 8)(x + 2) \\ = 3 {x}^{4} + 6 {x}^{3} + 64 {x}^{3} + 16 {x}^{2} + 4 {x}^{2} + 8x - 8x - 16 \\ = 3 {x}^{4} + 70 {x}^{3} + 20 {x}^{2} - 16 \\ \\ \\ \\ [/tex]
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