Solving f(x) = 5^sqrt(2(x^2)-1)

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Homework Help Overview

The discussion revolves around the function f(x) = 5^sqrt(2(x^2)-1) and its properties, particularly focusing on the range of the function.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the range of the function and question the definitions of range and domain. There are attempts to evaluate the function at specific values of x and discussions about the implications of those evaluations.

Discussion Status

The discussion is active, with participants providing different interpretations of the terms range and domain. Some have offered evaluations of the function at specific points, while others are clarifying terminology without reaching a consensus.

Contextual Notes

There is a distinction being made between the range of y-values and x-values, with some participants noting variations in terminology usage regarding domain and co-domain.

ludi_srbin
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f(x)=5^sqrt(2(x^2)-1)

I got that range is (1, to infinity)

Is it correct?
 
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What does f equal if x = -2 ?
 
5^sqrt(7). If x=sqrt(2)/2, then I get F(x)=1
 
Isn't x= sqrt(1/2) the lowest you can go?
 
By range, do you mean the range of x-values or y-values ?

If it's for the y-values then your range of 1 - infinity is correct.

If it's for the x-values, then that's a bit different.
 
For y values. They teach us to call x-values domain.
 
That's right.
I use domain for x-values and co-domain for y-values.
But I've seen range used for x-values before.
 

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