Question

When f(x) = 25-x squared and g(x) = x+5 (f divided by g times x equals what

Answer 1

`f(x)=25-x^2,\ g(x)=x+5\\\\(f(x))/(g(x))\cdot x=(25-x^2)/(x+5)\cdot x=(x(25-x^2))/(x+5)\\\\\text{Domain:}\ x\\eq-5\\\\25-x^2=5^2-x^2=(5-x)(5+x)\\\\(f(x))/(g(x))\cdot x=(x(5-x)(5+x))/(x+5)=x(5-x)=5x-x^2\to\text{simplified form}`