i need to write the equation of the inverse of each given function
y=sqrt[x]
can someone help me with this, i dont know how to do this one, explaining it is helpful and appreciated, thanks
2006-12-07 09:35:59 · 4 answers · asked by BLUEEEE 1 in Science & Mathematics ➔ Mathematics
y=√x square both sides
x=y^2
2006-12-07 09:38:43 · answer #1 · answered by yupchagee 7 · 9⤊ 0⤋
In this case, x = y^2. If an inverse function is defined, which will usually be the case, simply apply it to each side. Since the inverse of square root is square, that is what is done here.
2006-12-07 09:39:04 · answer #2 · answered by Anonymous · 0⤊ 0⤋
The inverse is the function that "undoes" the first function.
So, the inverse of square root is the square.
Thus f(x)=sqrt(x), so f inv (x)= x^2.
2006-12-07 09:39:36 · answer #3 · answered by Jerry P 6 · 0⤊ 0⤋
x=y^2
Your equation is y equals the square root of x. Plot this out on an x/y chart for x=2,4,6,8. You will see that to 'reverse' the equation and get your original numbers, you will need to square the output in the y column.
2006-12-07 09:42:48 · answer #4 · answered by gm_snin 1 · 0⤊ 0⤋