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Original equation: y = 3/4*x - 5 In order to find the inverse of an equation algebraically, you switch the 'x' and the 'y'. 1. y = 3/4*x -5 (original equation) 2. x = 3/4*y -5 (swap x and y) 3. x + 5 = 3/4 * y (add 5 to both sides) 4. 4/3(x + 5) = y (multiply both sides by the reciprocal of 3/4) 5. (4x + 20)/3 = y (simplify) The inverse of y = 3/4*x - 5 is y = (4x + 20)/3.
Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2
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28 and 3.Equation 1:√(x - y) = 5[√(x - y) = 5]2x - y = 25Equation 2:x + y = 31Solution:x + y - 31 = x - y - 25x - x + y + y = -25 + 312y = 6y = 3x - y = 25x - 3 = 25x = 25 + 3x = 28Checking:x + y = 3128 + 3 = 31√(x - y) = 5√(28 - 3) = 5√25 = 5
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Follow this example. f(x) = (x+3)/5 To find its inverse, write y=f(x) y= (x+3)/5 Interchange x and y x = (y+3)/5 solve for y in terms of x 5x=y+3 y=5x-3 The inverse of f(x) is f^-1(x) = 5x-3
Original equation: y = 3/4*x - 5 In order to find the inverse of an equation algebraically, you switch the 'x' and the 'y'. 1. y = 3/4*x -5 (original equation) 2. x = 3/4*y -5 (swap x and y) 3. x + 5 = 3/4 * y (add 5 to both sides) 4. 4/3(x + 5) = y (multiply both sides by the reciprocal of 3/4) 5. (4x + 20)/3 = y (simplify) The inverse of y = 3/4*x - 5 is y = (4x + 20)/3.
2xy substitute 3 for y and 5 for x 2(5)(3) = 30
y^2 X y^3 = y^(2 + 3) = y^5 You can only do this if the coefficient 'y' is the same for both terms. Remember y^2 = y X y y^3 = y X y X y Hence y^2 X y^3 = y X y X y X y X y = y^5 Similarly for division/subtraction y^3 / y^2 = y^(3 - 2 ) = y^1 = y The power of '1' is trivial and not normally shown. NB You CANNOT do z^2 X y^3 by adding the indices. z^2 X y^3 is (z^2)*(y^3)
the Y in the sentence X plus Y equals 5 is Y=3 or 2 if the X is 2 or 3
1+4=5
y=2x-3 y=-x-3
(-x) + (-y) = -(x + y) Example: x = 2, y = 3 -2 + -3 = -5
The formula for the area is: f(x) = 2xy Plug in for y: f(x) = 2x(5 - x²) f(x) = 10x - 2x^3 Take the first derivative: f'(x) = 10 - 6x² Set that to zero: 0 = 10 - 6x² 6x² = 10 x² = 10/6 x² = 5/3 x = √(5/3) x ≈ 1.29 y = 5 - (√(5/3))² y = 5 - 5/3 y = 15/3 - 5/3 y = 10/3 The width (2x) is: 2x ≈ 2.58 The height (y) is: y ≈ 3.33
If you meant (45x^4)(y), then the answer is: (3)(3)(5)(x)(x)(x)(x)(y) If you meant 45 times x times 4 times y, then the answer is: (2)(2)(3)(3)(5)(x)(y)
Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2