3 years ago

Restrict the domain of this function to make it one-to-one: f(x)=(x-1)^2-4

Mathematics

1 answer:

Solnce55 [7]3 years ago

5 0

Answer:

The domain must be [1, ∞).

Step-by-step explanation:

To do this we need to ensure that the x-1 is not negative.

That is x must be >= 1.

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$\bf tan(22^o)=\cfrac{x}{80}\implies \boxed{80tan(22^o)=x}
\\\\[-0.35em]
~\dotfill\\\\
tan(43.5^o)=\cfrac{y+x}{80}\implies 80tan(43.5^o)=y+x\implies 80tan(43.5^o)-x=y
\\\\\\
80tan(43.5^o)-80tan(22^o)=y\implies 43.59506727037783689501 \approx y
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
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