Question Number 113904 by bobhans last updated on 16/Sep/20

If  { ((f(x)=(√(2x−5)))),((g(x)=x^2 +1)) :}  find (f^(−1) ○g)^(−1) (x)

Answered by bemath last updated on 16/Sep/20

solution :   (f^(−1) ○g)^(−1) (x)=(g^(−1) ○f)(x)  and g^(−1) (x)=±(√(x−1))  then (g^(−1) ○f)(x)=±(√((√(2x−5))−1))