Diketahui fungsi f(x)=-3x+4, g(x)=x2-3x+2 carilah 1.(f-g) (x) 2.(gxf)(x) Diketahui fungsi f(x)=2×2+x-4,g(x)=x2-3x+2 carilah 1.(f+g)(x) 2.(f-g)(x) Mohon bantuannya kaka²

1. ) Diketahui : f(x) = – 3x + 4

g(x) = x^2 – 3x + 2

Ditanya : f-g(x) dan g o f (x)?

Jawab :

f – g (x) = – 3x + 4 – (x^2 – 3x + 2)

= – 3x + 4 – x^2 + 3x – 2

= – x^2 + 2

g o f(x) = g(f(x))

= ( – 3x + 4)^2 – 3( – 3x + 4) + 2

= 9x^2 – 24x + 16 + 9x – 12 + 2

= 9x^2 – 15x + 6

2.) Diketahui : f(x) = 2x^2 + x – 4

g(x) = x^2 – 3x + 2

Ditanga : f+g(x) dan f-g(x)?

Jawab :

f + g (x) = 2x^2 + x – 4 + x^2 – 3x + 2

= 3x^2 – 2x – 2

f – g (x) = 2x^2 + x – 4 – (x^2 – 3x + 2)

= 2x^2 + x – 4 – x^2 + 3x – 2

= x^2 + 4x – 6

semoga bermanfaat dan terimakasih