Question

Cara mengerjakan untuk soal no 35 dan 37

Answer 1

35. f(x)=1/5x-2
y=1/5x-2
1/5x = y+2
x=5(y+2)
x=5y+10
f⁻¹(y)=5y+10
f⁻¹(x)=5x+10

37. f(x)=5²ˣ
y=5²ˣ
⁵log y = 2x
x = ½ ⁵log y
f⁻¹(y) = ½ ⁵log y
f⁻¹(x) = ½ ⁵log x

f⁻¹(5√5) = ½ ⁵log (5√5) = ½ ⁵log (√125) = ½ ⁵log (5^(3/2))
= 3/2 ½ ⁵log 5
= 3/4 . 1
= 3/4