Question

Fog(x)=8x+11
g(x)= 2x + 1
tentukan f^-1 (-3/2)​

Answer 1

Jawab:

komposisi fungsi  --> fog(x) = f { g(x)}

dan fungsi invers --> f(x) = y --> f⁻¹ (y) = x

Penjelasan dengan langkah-langkah:

fog(x) = 8x + 11 dan g(x) = 2x + 1

f{ g(x) } = 8x + 11

f {2x +1 } = 8x + 11

inversnya  f⁻¹ (8x +11 ) = 2x + 1

f⁻¹ ( - 3/2 ) = ...

8x + 11 = - 3/2...kalikan 2

16x + 22 = - 3

16 x = - 25

x = - 25/6

.

f⁻¹ ( - 3/2 ) =  2 ( - 25/6 ) + 1

f⁻¹ (  - 3/2 ) = -50/6 + 1 = -50/6 + 6/6

f⁻¹ ( -3/2) = - 44/6 = - 22/3