Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If f(X)=25-x^2 and g(X)=x+5, what is (f/g)(x)? Write your answer in simplest form. When f(X)=25-x^2 and g(X)=x+5, (f/g)(x) .

Answer 1

$f(x)=25-x^2\\\\g(x)=x+5\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}=\dfrac{25-x^2}{x+5}=\dfrac{5^2-x^2}{x+5}=\dfrac{(5-x)(5+x)}{5+x}=5-x\\\\for\ x\neq-5$

Answer 2

Answer: -x+5

Step-by-step explanation: