Functions

Main post link -> https://brilliant.org/assessment/s/algebra-and-number-theory/844970/

In this problem, is f(x) a function like f(x)=sin(x) or is it a polynomial??

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Can you post the question? The link says this solvable does not exist

Jamie Morrison - 8 years, 2 months ago

The question is

A function f:R→R satisfies f(5−x)=f(5+x). If f(x)=0 has 5 distinct real roots, what is the sum of all of the distinct real roots?

Aasif Khan - 8 years, 2 months ago

It is a function, not a polynomial.

Jamie Morrison - 8 years, 2 months ago

@Jamie Morrison – I don't understand how to work on it...

Aasif Khan - 8 years, 2 months ago

@Aasif Khan – I mean do i need to invent such a function and then work on it, like the function could be anything like sqrt(sin(x)) . So do I need to discover the function first?

Aasif Khan - 8 years, 2 months ago

f(x) is a function, not necessarily a polynomial.

Zi Song Yeoh - 8 years, 2 months ago

What is the difference between a function and a polynomial......?

Kiran Patel - 8 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$