What is the inverse of the given function? y = 7x2 -­ 3?

y = ±

Step-by-step explanation:

Given: y = 7x^2 - 3

To find inverse function follow the steps.

Step 1: Replace x by y and y by x, so w get

x= 7y^2 - 3

Step 2: Write y interms of x.

7y^2 = x + 3

Dividing both sides by 7, we get

y^2 = (x + 3)/7

To find y, take the square root on both sides

y = ±

Hope this will helpful.

Thank you.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: