carilah g(x) jika diketahui f(x)=2x-1 dan (g o f)(x)=x²+x ?

(g o f)(x) = x²+x
g(x) = (2x-1)²+2x-1
g(x) = 1+2x-1
g(x) = 2x

(g○f )(x)= x²+x
g(f(x)) = x²+x
g(2x-1) = x²+x
misal:
a = 2x-1 <=> a+1/2 = x
jadi:
g(a) = (a+1/2)² +( a+1/2)
= (a²+2a+1/4 )+ (a+1/2)
= a²+ 2a +1 +2a+2/4
= a²+4a+3/4
jadi g(x) = x²+4x+3/4
:)