Find The Domain For Which The Functions F(x) = 2x^2 - 1 And G(x) = 1
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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathematicsDefinition of FunctionsQuestionFind the domain for which the functions f(x)=2x2−1 and g(x)=1−3x are equal.
- {-2,2}
- {2, 1/2}
- {-2,1/2}
- None of these
The values of x for which f(x) and g(x) are equal are given byf(x)=g(x)⟹2x2−1=1−3x2x2+3x−2=0(x+2)(2x−1)=0x=−2,1/2.Thus, f(x) and g(x) are equal on the set {-2, 1/2}.
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