Question

Tolong ya yang Pinter Matematika jawabin No 3 & 4... dibantu ya please

Answer 1

3. (f₀g)⁻¹(x) = (g⁻¹₀ f⁻¹)(x)
g⁻¹(x) = 
f⁻¹(x) = 

(g⁻¹₀ f⁻¹)(x) = g⁻¹(f⁻¹(x))
lanjutkan tinggal masukin

Answer 2

3) f(x) = 1/(x + 1)
y = 1/(x + 1)
xy + y = 1
xy = 1 - y
x = (1 - y)/y
f⁻¹(x) = (1 - x)/x

g(x) = 2/(3 - x)
y = 2/(3 - x)
3y - xy = 2
xy = 3y - 2
x = (3y - 2)/y
g⁻¹(x) = (3x - 2)/x

(f o g)⁻¹ (x) = f⁻¹((3x - 2)/x))
= (1 - ((3x - 2)/x))/((3x - 2)/x)
= ((x - 3x + 2)/x)/(3x - 2)/x)
= (-2x + 2)/(3x - 2)