jika f-1(x) = x-1 per 5 dan g-1(x) = 3-x per 2 maka tentukanlah nilai (fog) -1(x)

jawab

(fog)⁻¹(x) =  g⁻¹ o f⁻¹ (x)
= g⁻¹ { f⁻¹(x)}
= g⁻¹ ((x-1)/5 }
= ( 3 - (x-1)/5)/ 2
= (15- x + 1)/(10)
=( 16 - x)/(10)

With To9ha ... :p

f^-1 (x) = (x - 1)/5
g^-1 (x) = (3 - x)/2

(fog)^-1 (x)
= g^-1 (f^-1 (x))

= (3 - (x - 1)/5) / 2

= ((3 × 5 - x + 1)/5) / 2

= (15 - x + 1)/(5 × 2)

= (16 - x)/10