Question

Bantu jwb pke cara dngn benar​

Answer 1

Penjelasan dengan langkah-langkah:

(f-¹ o g)(x) = x + 1

g(x) = 3x – 5

misal g(x) = y

y = 3x – 5

3x = y + 5

x = ⅓(y + 5)

g-¹(x) = ⅓(x + 5)

(f-¹(3x – 5) = x + 1

f-¹(x) = g-¹(x) + 1

f-¹(x) = ⅓(x + 5) + 1

f-¹(x) = ⅓x + 5/3 + 3/3

f-¹(x) = ⅓x + 8/3

f-¹(x) = ⅓(x + 8)

misal f-¹(x) = k

k = ⅓(x + 8)

3k = x + 8

x = 3k – 8

f(x) = 3x – 8

f(x) = 3x – 8

f(1) = 3(1) – 8

f(1) = –5

Answer 2

Jawab:
-5

Penjelasan:
Diketahui:
(f⁻¹og)(x) = x+1
g(x) = 3x - 5

Ditanya nilai f(1)
(f⁻¹og)(x) = f⁻¹(g(x))
x+1 = f⁻¹(3x - 5)
f⁻¹(3x - 5) = x+1

Misal k = g(x)
k = 3x-5
3x = k+5
x = (k+5)/3

maka
f⁻¹(k) = ((k+5)/3) + 1
f⁻¹(k) = ((k+5)/3) + (3/3)
f⁻¹(k) = (k+8)/3
f⁻¹(x) = (x+8)/3

Cari inversnya
y = (x+8)/3
Ganti x dengan y
x = (y+8)/3
y+8 = 3x
y = 3x-8
f(x) = 3x-8

Maka f(1) = 3(1)-8 =
-5

( x c v i )