Let f(x) = 3x^2+5, g(x)=3x-4. Find the following value or expression
(F*g)(x)=

(f οg )(x) = 27 x² -36 x + 53

Step-by-step explanation:

Explanation:-

Given the function f(x) = 3 x² +5 and g(x) = 3x-4

(f οg )(x) = f(g(x)

             = f(3x-4)

             = 3 ( 3x-4)² +5  ( ∵  f(x) = 3 x² +5)

            =  3 ( 9 x² - 2(3x)(4)+(4)²) +5

           = 3 ( 9 x² -12 x + 16) +5

          = 27 x² -36 x + 48 +5

         = 27 x² -36 x + 53

Final -

(f οg )(x) = 27 x² -36 x + 53

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