285,973 views
35 votes
35 votes
Witch equation can be simplified to find the inverse of y=5x^2+10

User Zeeshan Chaudhary
by
3.0k points

1 Answer

21 votes
21 votes

Answer:


\huge\boxed{y=\sqrt{(x-10)/(2)}\ \text{for}\ x\geq10}

Explanation:


y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\(x-10)/(5)=y^2\\\\y^2=(x-10)/(5)\to y=\sqrt{(x-10)/(2)}