Which equation is the inverse of y = 9x^2 - 4?

Finn Mosley

Finn Mosley

Answered question

2022-11-25

Which equation is the inverse of y = 9 x 2 4 ?

Answer & Explanation

mirandalpz9Uw

mirandalpz9Uw

Beginner2022-11-26Added 10 answers

The given equation's inverse is obtained as
f 1 ( x ) = ± ( ( x + 4 ) / 9 )
We are given the equation;
y = 9 x 2 4
Making x the subject of the formula is the first step in determining the inverse;
y = 9 x 2 4
Using addition property of equality, add 4 to both sides;
y + 4 = 9 x 2 4 + 4 y + 4 = 9 x 2
Using division property of equality, divide both sides by 9;
( y + 4 ) / 9 = 9 x 2 / 9 ( y + 4 ) / 9 = x 2
Taking square root of both sides gives;
± ( ( y + 4 ) / 9 ) = x
The inverse will be gotten by replacing y with x. Thus, the inverse is;
f 1 ( x ) = ± ( ( x + 4 ) / 9 )

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