Determine the formula and domain for (f 0 g)(x) when f(x)=(x-3) and g(x)=x^2-4
f(x) = (x - 3)
g(x) = x^2 - 4
(fog)(x) = f(g(x)) = f(x^2-4) = x^2 - 4 - 3 = x^2 - 7
For every value of x (fog)(x) exists.
So domain = all real numbers
This is the plot of x^2 - 7
(fog)(x) = x^2 - 7
Domain = all real numbers
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