Question

Tolongg dijawab yah :) besok dikumpulin !!
materi tentang invers fungsi komposisi
f(x) = 2x+1
g(x) = 4-x
2
tentukan
1.f^-1 (x) = ..
2. g^-1 (x) = ...
3. (g^-1 o f^-1) (x) = ...

note : f^-1 => f invers
g^-1 => g invers
o => dot

Answer 1

F(x) = 2x + 1
y = 2x + 1
2x = y - 1
x = (y - 1)/2
f⁻¹(x) = (x - 1)/2

g(x) = (4 - x)/2
y = (4 - x)/2
2y = 4 - x
x = 4 - 2y
g⁻¹(x) = 4 - 2x

(g⁻¹ o f⁻¹)(x) = g⁻¹((x - 1)/2)
= 4 - 2((x - 1)/2)
= 4 - (x - 1)
= 5 - x