Let fxx1 and gxx25x Find and simplify fgx After you find fgx

Let f(x)=x+1 and g(x)=x^25x. Find and simplify (fg)(x).

After you find (fg)(x)(fg)(x) and simplify it.

Solution

f(x) = -x+1 , g(x) = x²-5x

fog(x) = f(g(x)) = -(x²-5x) + 1 = -x²+5x+1

Now,

fog(x).fog(x) = (-x²+5x+1)(-x²+5x+1) = (-x²+5x+1)²