Question 547348
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