Question: 8. Let E, F and G be vector spaces (equipped with usual addition and scalar multiplication operations). Let f L(E,F) and g L(F, G). Prove

8. Let E, F and G be vector spaces (equipped with usual addition and scalar multiplication operations). Let f L(E,F) and g L(F, G). Prove or disprove the following statement: range(g - f) = range(g) if and only of Nul(g) + range(f) = F Show all steps and explanations

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