1. Simplify: (-5a^3b^2)^4 a^12b^5/b^-7
2. let f(x)=3x^2 and g(x)=x-4
-Find the composite function (f o g)(x) and simplify
-Find (f o g)(-1)
3. Find the exact solutions and simplify as much as possible 4x^2+5=4xHi there, Thanks for letting me work on your post. Here is my explanation:1. (-5a^3b^2)^4a^12b^5/(b^(-7))=625a^(3*4+12)b^(2*4+5+7)=625a^24b^20
2. (f0g)(x)=f(g(x))=f(x-4)=3(x-4)^2
when x=-1, (f0g)(-1)=3(-1-4)^2=75.3. 4x^2-4x+5=0.
b^2-4ac=(-4)^2-4*4*5=16-80=-64.
there is no real solution.
For complex solution, x1,2=(4+/-8i)/8=1/2+/-i
therefore, there are two complex solution, one is 1/2+i, the other is 1/2-i.




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