SOLUTION: help f(x) = 3x - 5 g(x) = 6x2 + 2x Find: g(f(x)) f(x) = 2x + 3 g(x) = 5x2 + 6x - 5 Find: f(g(x)) i can not figure these 2 out thanks for your help

Question 547348: help
f(x) = 3x - 5
g(x) = 6x2 + 2x
Find: g(f(x))

f(x) = 2x + 3
g(x) = 5x2 + 6x - 5
Find: f(g(x))

i can not figure these 2 out
thanks for your help
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
f(x) = 3x - 5
g(x) = 6x^2 + 2x
Find: g(f(x))
method: for each x in g, substitute (3x-5)
g[f(x)]=6(3x-5)^2+2(3x-5)
=6(9x^2-30x+25)+6x-10
=54x^2-180x+150+6x-10
g[f(x)]=54x^2-174x+140

f(x) = 2x + 3
g(x) = 5x^2 + 6x - 5
Find: f(g(x))
for each x in f, substitute (5x^2+6x-5)
f[g(x)]=2(5x^2+6x-5)+3
=10x^2+12x-10+3
f[g(x)]=10x^2+12x-7
RELATED QUESTIONS
I need help solving this please. Thanks. Find (f-g) and (f+g)(3) for f(x)=2x^2+x+5 and (answered by Boreal)

f(x) = 3x2 � 2x + 4 and g(x) = 5x2 + 6x � 8, find (f �... (answered by Alan3354)

f(x)=x+5 g(x)=x^2-4x+5 h(x)=3x^2-2x+5 find (f+g)(x) find (f*h)(x) find f[g(2)] (answered by solver91311)

For f(x)= 2x-5 and g(x)= 3-x , find (f (times)... (answered by longjonsilver)

Given f(x)=3x^2+2x and g(x)=x-5 find (f*g)(3), (f-g)(5) and (f o... (answered by rapaljer)

Given f(x)= 4x-3 and g(x)= 2x^2-5 find f[g(-1)] and g[f(-1)] i dont know how to do... (answered by fractalier)

find (f . g)(x) and (g . f)(x) for each function f(x)=-6x+9, g(x)=5x+7... (answered by lyra)

for f(x)=2x-1 and g(x)=2x^2-3x, find... (answered by user_dude2008)

Find f"circle"g and g"circle"f. f(x)= -2x; g(x)= -2x^2... (answered by stanbon)