SOLUTION: 1.) (Fog)(x) f(x)=6x+13, g(x)=3x-1 2.) (Gof)(x) f(x)=-2x+8, g(x)=4x+7 3.) For the functions f and g and the number c, compute fog (c) F(x)=x^2+2x+5 G(x)=x^2+2x-1 C=3

Question 767534: 1.) (Fog)(x) f(x)=6x+13, g(x)=3x-1
2.) (Gof)(x) f(x)=-2x+8, g(x)=4x+7
3.) For the functions f and g and the number c, compute fog (c)
F(x)=x^2+2x+5
G(x)=x^2+2x-1
C=3
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
1.) (Fog)(x) f(x)=6x+13, g(x)=3x-1
(Fog)(x)= 6(3x-1)+13
(Fog)(x)= 18x-6+13
(Fog)(x)= 18x+7
.
2.) (Gof)(x) f(x)=-2x+8, g(x)=4x+7
(Gof)(x) = 4(-2x+8)+7
(Gof)(x) = -8x+32+7
(Gof)(x) = -8x+39
.
3.) For the functions f and g and the number c, compute fog (c)
F(x)=x^2+2x+5
G(x)=x^2+2x-1
C=3
.
fog(x) = (x^2+2x-1)^2+2(x^2+2x-1)+5
fog(c) = (c^2+2c-1)^2+2(c^2+2c-1)+5
fog(3) = (3^2+2(3)-1)^2+2(3^2+2(3)-1)+5
fog(3) = (9+6-1)^2+2(9+6-1)+5
fog(3) = (14)^2+2(14)+5
fog(3) = 229

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