Is Goblins free for teachers?

Yes. Goblins offers a generous free tier that includes 1 live feedback assignment per week, insights on student mastery and replays, and the ability to upload your own content. The Max plan adds unlimited assignments, superadaptive mode, grade exports, standards growth reports, and SSO/LMS integration, with per-student pricing for schools and districts.

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Three simple steps: (1) Share an assignment from thousands of standards-aligned topics using a share code. (2) Students speak and draw their thinking naturally, and Goblins responds with Socratic questioning that sounds just like their teacher. (3) Teachers get real-time formative insights showing what students struggle with and suggestions to inform instruction.

Does Goblins prevent cheating?

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Can I use my own voice with Goblins?

Yes. Teachers can record their voice and take a selfie to create a custom 3D avatar in about 30 seconds. Students then hear help in their own teacher's voice and see a familiar face, making the experience more personal and effective.

What math levels does Goblins cover?

Goblins covers math from Grade 5 through AP Calculus, including thousands of standards-aligned topics. Teachers can also upload their own content for custom assignments at any level.

Is Goblins FERPA compliant?

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Does Goblins support English Language Learners?

Yes. Goblins supports 30+ languages so teachers don't have to translate every worksheet. It is especially helpful for ELL students who need accessible math instruction in their native language.

M.2HS.15

Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x)= 2 x^3 or f(x) = (x+1)/(x-1) for x ≠ 1.

Example Problems

Add.
The numerator should be expanded and simplified. The denominator should be either expanded or factored.

\frac{4}{3x^2 + 15x} + \frac{3}{x^2 + 5x} =

Add.
The numerator should be expanded and simplified. The denominator should be either expanded or factored.

\frac{2x}{x^2 - 25} + \frac{5}{2x^2 - 10x} =

Add.
The numerator should be expanded and simplified. The denominator should be either expanded or factored.

\frac{1}{7x^2 - 7x} + \frac{6}{7x^2 + 14x} =

Khan Academy Resources

Intro to inverse functions Evaluate inverse functions Find inverses of rational functions Finding inverses of linear functions Finding inverse functions: linear Graphing the inverse of a linear function Finding inverses of rational functions Inputs & outputs of inverse functions

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