Problem

For f(x)=x+1 and g(x)=2x2x3, find (fg)(x).

Answer

Expert–verified
Hide Steps
Answer

So, (fg)(x)=2x2+2x+4

Steps

Step 1 :Given the functions f(x)=x+1 and $g(x)=2x^{2}-x-3

Step 2 :We are asked to find (fg)(x), which means we need to subtract g(x) from f(x)

Step 3 :Subtract each term in g(x) from the corresponding term in f(x)

Step 4 :This gives us 2x2+2x+4

Step 5 :So, (fg)(x)=2x2+2x+4

link_gpt