The solution (B) x=79.
Rewriting the equation to find the solution -
(x+2)³/₄=27
Raising both sides of the equation with exponent ⁴/₃
((x+2)³/₄)⁴/₃ = 27⁴/₃
Cancelling the exponents on Left Hand Side of the equation. Writing the value on Right Hand Side of the equation in exponent form
x + 2 = (3³)⁴/₃
Cancelling 3 on Right Hand Side of the equation
x + 2 = 3⁴
Solving Right Hand Side of the equation
x + 2 = 81
Shifting 2 to Right Hand Side of the equation
x = 81 - 2
Performing subtraction on Right Hand Side of the equation
x = 79
Hence, the solution is (B) x=79.
Learn more about calculations on solution of x -
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F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer:
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Step-by-step explanation: