Question on lim x→2 f(4x^2 − 11) = 8?

  • Thread starter alaa amed
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Homework Statement



Determine whether the statement is true or false.
If f is continuous at 5 and f(5) = 8 and f(4) = 3, then
lim x→2 f(4x^2 − 11) = 8.

2. Homework Equations

lim x->a f(x) = f(a)

The Attempt at a Solution



I think the answer to this question is false because limit of f(4x^2 − 11) has to be approaching 8 but I am not sure if this is the right way ti think about this.[/B]
 

Answers and Replies

  • #2
andrewkirk
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Write ##x\mapsto f(4x^2 − 11)## as the composition of two functions ##f## and ##g##, where ##g(x)=4x^2-11##.
Is ##g## continuous?
What can we say about the composition of two continuous functions?
 

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