JEE Main 202330 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002Let f1(x)=3x+22x+3,x∈R−{−32}f^{1}(x)=\frac{3 x+2}{2 x+3}, x \in \mathbf{R}-\left\{\frac{-3}{2}\right\}f1(x)=2x+33x+2,x∈R−{2−3} For n≥2\mathrm{n} \geq 2n≥2, define fn(x)=f1ofn−1(x)f^{\mathrm{n}}(x)=f^{1} \mathrm{o} f^{\mathrm{n}-1}(x)fn(x)=f1ofn−1(x). If f5(x)=ax+bbx+a,gcd(a,b)=1f^{5}(x)=\frac{\mathrm{a} x+\mathrm{b}}{\mathrm{b} x+\mathrm{a}}, \operatorname{gcd}(\mathrm{a}, \mathrm{b})=1f5(x)=bx+aax+b,gcd(a,b)=1, then a+b\mathrm{a}+\mathrm{b}a+b is equal to ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
