Penjelasan dengan langkah-langkah:
Dik :
1. f(x)= 3x-1
g(x)=2x²+3
maka g(f(1))
f(1)= 3(1)-1=2
maka g(2)=2(2)²+3=11 C
2.f(x)= 3x-5
g(x)= (4x-2)/(6-4x)
maka g(f(2))
f(2)= 3(2)-5=1
maka g(1)=4(1)-2/6-4(1)=2/2=1 D
3. f(x)=(2x-4)/(x-3)
f^-1 = xy-3y=2x-4
xy-2x=-4+3y
x(y-2)=3y-4
x=(3y-4)/y-2
maka y= (3x-4)/(x-2)
maka f^-1(4)=3(4)-4/(4-2)=8/2=4 B
4.f(x)= (9x+4)/(6x-5)
f^-1
6xy-5y=9x+4
6xy-9x=5y+4
x(6y-9)=5y+4
x=5y+4/(6y-9)
y=5x+4/(6x-9)
f^-1(-2)=5(-2)+4/6(-2)-9
=-6/-21 =6/21=2/7 gak ada di opsi
5.f(x)= x²+4x
g(x)= -2+√x+4
g(f(x)= -2+√x²+4x+4
g(f(x))= -2+(x+2)
= x D
6.f(x)=2x+5
g(x)= (x-1)/(x+4)
f(g(x))= 2(x-1)/(x+4)+5
= ((2x-2)+5x+20)/(x+4)
=(7x+18)/(x+4) D
7.f(x)=2x-3
g(x)=x²+2x-3
g(f(x))= (2x-3)²+2(2x-3)-3
=4x²-12x+9+4x-9
=4x²-8x✓ E
8. f(x)=3x-1
g(x)=2x²-3
g(f(x))= 2(3x-1)²-3
=2(9x²-6x+1)-3
=18x²-12x+2-3
=18x²-12x-1 E
9.g(x)=x+1
f(x)= x²+x-1
f(g(x))= (x+1)²+x+1-1
=x²+2x+1+x
=x²+3x+1 E
10. f(x)= 2x+1
g(x)= x²-4x
f(g(x))= 2(x²-4x)+1
= 2x²-8x+1 C
semua jawaban nya ada di atas ya,semoga membantu
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