let F(x)=5/x and g(x)=2x^2+5x. What two numbers are not in the domain of f o g? A. 0,-5/2 B. 0,-2/5 C. 0, 2/5 D. 0, 5/2
@robinnicole218
@adrouin1
@jdoe0001
\(\bf f(x)=\cfrac{5}{x} \qquad g(x)=2x^2+5x\\ \quad \\ fog\implies f(\quad g(x)\quad )=\cfrac{5}{(2x^2+5x)}\) for rationals, the domain is constrained to values that will not make the fraction undefined a fraction or rational is undefined when the denominator is 0, thus any values in this case "x" can take MUST NOT make the denominator expression to 0
so if you solve \(\bf 2x^2+5x=0\) to find the values of "x", those values, notice the =0 part, will make the denominator 0, and those are the values "x" MUST NOT take and thus the domain constraints
0,-5/2 right @jdoe0001
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