Math, asked by deersinghmeena47, 8 months ago

If f(x)=x2-1 and g(x)=3x+1, then (gof)(x)=​

Answers

Answered by ravibharathi22
7

Answer:

(gof)(x)= ​3x^2 -2

Step-by-step explanation:

Attachments:
Answered by Syamkumarr
5

Answer:

⇒ (gof) (x) = 3x² - 2  

Step-by-step explanation:

Given data

                    f (x)  = x² - 1  and g (x) = 3x + 1

here we need to find   (gof)(x)  

    ( gof ) (x) = g ( f (x) )  

                   = g ( x² - 1 )   [ substitute x = x² - 1  in g (x) ]  

                   = 3(x² - 1 ) + 1  

                   = 3x² - 3 + 1

                   = 3x² - 2

⇒  (gof)  (x) = 3x² - 2

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