You can put this solution on YOUR website! Find (fog)(x) and (gof)(x) and the domain of each.
f(x)= x+3, g(x)= 2x^2-5x-3
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fog(x) = f[g(x)] = f[2x^2-5x-3] = 2x^2-5x-3+3 = 2x^2-5x
Domain:: All Real Numbers
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gof(x) = g[f(x)] = g[x+3] = 2(x+3)^2 - 5(x+3) - 3 = 2x^2+12x+18-5x-3
= 2x^2 + 7x + 15
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Domain:: All Real Numbers
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Cheers,
Stan H.
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