Ce contenu est protégé par le droit d'auteur. Toute reproduction à l'extérieur des forums Alloprof est interdite et pourra être considérée comme une violation du droit d'auteur.
Hello,
How do I find the zero of the inverse of this exponential function?
To find the zero of the inverse of an exponential function, first find the inverse of the function by isolating the x in the equation and then switching x and y. For example, if we have y = 2^x, take the logarithm of both sides to get x = log_2(y) and switch x and y to get the inverted function : y = log_2(x). Then, to find the zero of the inverse function, set y = 0 and solve for x. In our example it would be : 0 = log_2(x) => x = 1.
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
Hi !
To find the zero of the inverse of an exponential function, first find the inverse of the function by isolating the x in the equation and then switching x and y. For example, if we have y = 2^x, take the logarithm of both sides to get x = log_2(y) and switch x and y to get the inverted function : y = log_2(x). Then, to find the zero of the inverse function, set y = 0 and solve for x. In our example it would be : 0 = log_2(x) => x = 1.
Here are some useful links:
Have a good day ! :)