Jika g(x)= 3x+5dan(fog)(x)=6x-1tentukan F invers (x+2)​

Jawaban:

f^-1(x + 2) = (x – 6)/-2

Penjelasan dengan langkah-langkah:

g(x) = 3x + 5

misalkan

–3x + 5 = a

–3x = a – 5

x = 5/3 – a/3

fog(x) = 6x – 1

f(3x+5) = 6x – 1

f(a) = 6(5/3 – a/3)

f(a) = 10 – 2a

f(x + 2) = 10 – 2(x + 2)

f(x + 2) = 10-2x -4

f((x + 2) = 6 – 2x

f^-1(x + 2) = (x – 6)/-2