SOLUTION: Solve the equation (f compose g)(x) = 0. (Enter your answers as a comma-separated list.)
f(x) = x2 − x − 6, g(x) = 2x − 4
I plugged g(x) into f(x) and ende
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Question 946270: Solve the equation (f compose g)(x) = 0. (Enter your answers as a comma-separated list.)
f(x) = x2 − x − 6, g(x) = 2x − 4
I plugged g(x) into f(x) and ended up with 2x^2-9x+3 and used the quadratic to find the solutions, but I wasn't getting the correct answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the equation (f o g)(x) = 0. (Enter your answers as a comma-separated list.)
f(x) = x^2 − x − 6, g(x) = 2x − 4
I plugged g(x) into f(x) and ended up with 2x^2-9x+3 and used the quadratic to find the solutions, but I wasn't getting the correct answer.
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fog(x) = f[g(x)] = f[2x-4] = (2x-4)^2 - (2x-4) - 6
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= 4x^2 -16x + 16 - 2x + 4 - 6
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= 4x^2 -18x + 14
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Solve:: 2x^2 - 9x + 7 = 0
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(x-1)(2x-7) = 0
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Solutions:: x = 1 or x = 7/2
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Cheers,
Stan H.
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