Use function notation, evaluate functions on their domains, and interpret notation in context.
Find the input value(s) that produce a given output from a function rule
Problem
Solve \(f(x)~=~11\) for all input values when \(f(x)~=~2x~+~3\).
Big Picture
What this problem is really about
This question runs function evaluation backward: the output is known, and the input is unknown. We’ll set the function expression equal to the target output, undo the operations in reverse order, and solve for every possible input. Substitution into the original rule will confirm both the value and whether the solution set is complete.
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