Question

(f · g) (x) = 4x² + 6x - 11
g(x) = 2x + 3
f(x) ....

Answer 1

Untuk mencari f(x) maka;
g(x)=2x+3, misal t=2x+3-----> x= t-3/2
Jawab:
(fog)(x)=4x²+6x-11
f(g(x))=4x²+6x-11
f(x)=4(x-3/2)²+6(x-3/2)-11
f(x)=4(x²-6x+9/4) + 6x-18/2 -11
f(x)=x²-6x+9 + 3x-20
f(x)=x²-3x-11

Answer 2

Fog (x) = 4x²+ 6x - 11
g(x) = 2x+ 3
g^-1(x) = ( x-3)/2
f(x) = (fog) og^-1 (x)
f(x) = 4 {(x-3)/2}² + 6(x-3)/ (2) - 11
f(x)= (x-3)² + 3(x-3) - 11
f(x) = x² - 6x+9 + 3x -9 -11
f(x)= x² - 3x - 11