Jika f^(-1) (x)=x-1/5 dan g^(-1) (x)=3-x/2, tentukanlah nilai (f o g)^(-1) (x)!

Diketahui f⁻¹(x)=x-1/5 dan g⁻¹(x)=3-x/2
maka (fog)⁻1(x)=(g⁻¹of⁻¹)(x)

[tex]g^{-1}(x- \frac{1}{5})\\=3- (\frac{x- \frac{1}{5}}{2})\\= \frac{6}{2} - (\frac{x- \frac{1}{5} }{2})\\= \frac{6-x+ \frac{1}{5}}{2}\\= \frac{1}{2}( \frac{30}{5}+ \frac{1}{5}-x)\\= \frac{31}{10}- \frac{1}{2}x [/tex]

Semangat!