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10 Apr 2020
Discuss: Solving an Equation for an Unknown Function. In Exercise of section youu were asked to solve equations in which the unknowns are functions. Now that we know about inverse and the identity function (see exercise ), we can use algebra to solve for unknown function , we perform the following steps:
Problem: solve for
Compose with on the right
Because
Because
So the equation is . Use this technique to solve the equation for the indicated unknown function.
Solve for , where and
Discuss: Solving an Equation for an Unknown Function. In Exercise of section youu were asked to solve equations in which the unknowns are functions. Now that we know about inverse and the identity function (see exercise ), we can use algebra to solve for unknown function , we perform the following steps:
Problem: solve for
Compose with on the right
Because
Because
So the equation is . Use this technique to solve the equation for the indicated unknown function.
Solve for , where and