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Let
\[f(x) = \frac{2x + 3}{x^2 + 7}.\]
Find the domain of $f$. Give your answer using interval notation.

 Jan 12, 2024
 #1
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The only  restriction  to the domain is an x value that makes the denominator = 0

 

But  notice  that  

 

x^2 + 7   = 0

x^2  = -7

 

And no (real) x makes this true....so....the domain is all real  numbers  → (-inf, inf)

 

 

cool cool cool

 Jan 12, 2024

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