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MATH / The function f(x)=−3x²+36x−7, defined for all real numbers, does not have an inverse. However, when its domain is restricted to x∈[c,∞), the function does become invertible, for ce…

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problem

The function f(x)=−3x2+36x−7,f(x) = -3x^2 + 36x - 7, defined for all real numbers, does not have an inverse. However, when its domain is restricted to x∈[c,∞),x \in [c,\infty), the function does become invertible, for certain values of c.c. What is the smallest such value of cc?
Plain-text mathematical notation (without MathML)
The function f(x)=−3x²+36x−7, defined for all real numbers, does not have an inverse.  However, when its domain is restricted to x∈[c,∞), the function does become invertible, for certain values of c.  What is the smallest such value of c?
Original LaTeX notation
The function $f(x) = -3x^2 + 36x - 7,$ defined for all real numbers, does not have an inverse.  However, when its domain is restricted to $x \in [c,\infty),$ the function does become invertible, for certain values of $c.$  What is the smallest such value of $c$?

level

Level 4

type

Intermediate Algebra

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task_id
589e4a8f-b4a9-5700-935a-a866255fc021
task_key
intermediate~5falgebra--test--589e4a8f-b4a9-5700-935a-a866255fc021
task_revision_id
1
config / split
intermediate_algebra / test

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