The inverse of the equation is, [tex]\rm y ={ \dfrac{ \sqrt {x-1}}{4}[/tex]
An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
The inverse of an equation is found by interchanging the position of x and y and then the equation is solved for y in terms of x.
The equation is,
y = 16x² + 1,
By interchanging the variables, x <------> y
x = 16y² + 1,
16y² + 1 = x
16y² = x - 1
y² = (x-1) / 16
[tex]\rm y = \sqrt { \dfrac{x-1}{16}[/tex]
[tex]\rm y ={ \dfrac{ \sqrt {x-1}}{4}[/tex]
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