benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(−1).

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

You have linear functions p(x)p(x) and q(x)q(x). You know p(2)=3p(2)=3, and p(q(x))=4x+7p(q(x))=4x+7 for all xx. Find q(−1)q(-1).
Plain-text mathematical notation (without MathML)
You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(−1).
Original LaTeX notation
You have linear functions $p(x)$ and $q(x)$. You know $p(2)=3$, and $p(q(x))=4x+7$ for all $x$. Find $q(-1)$.

level

Level 5

type

Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
bbecc72c-6094-5422-9ec8-b1b4505f4122
task_key
algebra--test--bbecc72c-6094-5422-9ec8-b1b4505f4122
task_revision_id
1
config / split
algebra / test

Official source

initial import