Question

Hm.

[tex]\bf~f(x) = \frac{5x + 2}{3x - 6} [/tex]
[tex]\bf~ {f}^{ - 1} (3) = ....?[/tex]
a. 4
b. 5
c. 6
d. 7
e. hm.​

Answer 1

Penyelesaian:

y=5x+2/3x-6

y(3x-6)=5x+2

3xy-6y=5x+2

3xy-5x=6y+2

x(3y-5)=6y+2

x=6y+2/3y-5

f‾¹(x)=6x+2/3x-5

--------------------

f‾¹(3)=6(3)+2/3(3)-5

f‾¹(3)=18+2/9-5

f‾¹(3)=20/4=5(b.)

Answer 2

Jawab:
e. hmm..

Penjelasan:
f(x) = (5x+2)/(3x-6)
y = (5x+2)/(3x-6)
x = (5y+2)/(3y-6)
5y+2 = x(3y-6)
5y+2 = 3xy-6x
5y-3xy = -6x-2
y(5-3x) = -6x-2
y = (-6x-2)/(5-3x)
f⁻¹(x) = (-6x-2)/(5-3x)
f⁻¹(3) = (-6(3)-2)/(5-3(3))
f⁻¹(3) = (-18-2)/(5-9)
f⁻¹(3) = (-(18+2))/(-(9-5))
f⁻¹(3) = (18+2)/(9-5)
f⁻¹(3) = 20/4
f⁻¹(3) = 5
Jadi jawabannya bukan e.
tapi jawabannya b. 5

(xcvi)