Construct linear and exponential functions, including arithmetic/geometric sequences, from graphs, descriptions, or input-output pairs.
Find the input value when a linear or exponential model reaches a target output
Problem
For the model \(f(x)=6x+8\), solve for the input \(x\) when the output reaches the target value \(50\).
Big Picture
What this problem is really about
The target is an output, so finding its input means reversing the function’s operations in the opposite order. We’ll set the model equal to the target, undo the fixed addition, and then undo the multiplication to isolate the input. Substitution into the original model will verify that the recovered input produces the required output.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
