Question 1002814


1.f(x) = 2x + 3 
g(x)= 2x^2 + 2x 

Find  f(g(x) )

=2(2x^2+2x)+3 
=4x(x+1)+3 
= 4x^2+4x+3 =>{{{correct}}}


2. f(x) = 5x + 3 
g(x) = 2x^2-2x + 2 
Find (fg)(x)  
(5x+3)(2x^2-2x+2) 
2(5x+3)(x^2-x+1) 
10x^3-4x^2+4x+6 =>{{{correct}}}

3.f(x)=3x 
g(x)= -2x^2 -2x 
Find (f - g)(x) 
3x-(-2x^2-2x) 
=3x+2x^2+2x 
=2x^2+5x =>{{{correct}}}

4.f(x)=3x + 1 
g(x)=x^2-5x -2 
Find g(f(x) ) 
(3x+1)^2-5(3x+1)-2 
=6x+1+9x^2-15x-5-2 
=9x^2-9x-6=>{{{correct}}}

great job!