Respuesta :
The inverse of this function is x = [tex]\sqrt{\frac{y+5}{3} }[/tex]
What is the distinction between direct and inverse variation?
- Direct variation indicates that when one quantity changes, the other quantity changes in direct proportion. Inverse variation is the polar opposite of this. This article will teach you the definitions of direct and inverse variations, as well as some solved examples.
- If y varies inversely as x and x = 5 when y = 2, the constant of variation is k = xy = 5(2) = 10. As a result, the equation for this inverse variation is xy = 10 or y =. Write an equation describing the inverse variation of y if it varies inversely as x and y = 6 when x =. k = (6) = 8.
Steps of the equation:
To find the inverse of a function expressed as
y = an expression in x
rearrange the expression into the form:
x = an expression in y
Given
y = 3x^2 -5
Switch sides and add 5 to both sides
3x^2 = y+5
Divide both sides by 3
x^2 = y+5/3
Take the square root of both sides
x = ±[tex]\sqrt{\frac{y+5}{3} }[/tex]
x = [tex]\sqrt{\frac{y+5}{3} }[/tex]
To learn more about inverse refer to
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