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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