Find ( F∘ G ) (3) When F (x) = 7x - 6 And G (x) = 5x^2 - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathematicsComposite FunctionQuestionFind (f∘g)(3) when f(x)=7x−6 and g(x)=5x2−7x−6.
  1. −36
  2. 1014
  3. −90
  4. 120
A−90B120C−36D1014Open in AppSolutionVerified by Toppr

We have, f(x)=7x−6 and g(x)=5x2−7x−6Then,(f∘g)(x)=f(g(x))=f(5x2−7x−6)=7(5x2−7x−6)−6=35x2−49x−42−6=35x2−49x−48∴(f∘g)(3)=35(3)2−49(3)−48=315−147−48=120So, D is the correct option.

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