Find gef ar 3 fog. If f: R R and g: R→ R are given by f(x)=Cosx and g(x) = 3x². Show that gof≠ fog.​

Question

Find gef ar 3 fog. If f: R R and g: R→ R are given by f(x)=Cosx and g(x) = 3x². Show that gof≠ fog.​
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Solution 1

Sure, let's solve this step by step.

  1. First, we need to find the composite functions gof and fog.

  2. gof means g(f(x)). So we substitute f(x) into g(x). Given f(x) = cosx, we substitute this into g(x) = 3x² to get g(f(x)) = 3(cosx)².

  3. fog means f(g(x)). So we substitute g(x) into f(x). Given Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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