Question

Which equation is the inverse of y = 9x2 – 4

Answer 1

9×2=
18-4=
14
$14$

Answer 2

Answer:

$\frac{\sqrt{x+4}}{3} =y$

$-\frac{\sqrt{x+4}}{3} =y$

Step-by-step explanation:

Given : $y = 9x^{2} -4$

To Find: Inverse of given equation

Solution:

$y = 9x^{2} -4$

Replace x with y and y with

⇒ $x = 9y^{2} -4$

⇒ $x +4 = 9y^{2}$

⇒$\frac{x+4}{9} =y^{2}$

⇒$\sqrt{\frac{x+4}{9}} =y$

⇒$\frac{\sqrt{x+4}}{3} =y$

or

⇒$-\frac{\sqrt{x+4}}{3} =y$

Thus the inverse of a given function is⇒$\frac{\sqrt{x+4}}{3} =y$and ⇒$-\frac{\sqrt{x+4}}{3} =y$