Let f be the function from R to R defined by f(x) = x^{2}. Find

Wotzdorfg 2021-09-06 Answered
Let f be the function from R to R defined by f(x)=x2. Find
f1(xx>4)
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gwibdaithq
Answered 2021-09-07 Author has 84 answers

Given: f:RR
f(x)=x2
f1({xx>4}) contains all elements of R that has as image a real number greater than 4.
f(x)>4
Since f(x)=x2
x2>4
The square x2 is more than 4 if x is more than 2 or x is less than -2(since 22=4=(2)2).
(x<2)(x>2)
f1({xx>4}) thus contains all real numbers smaller than -2 and larger than 2.
f1({xx>4})={x(x<2)(x>2)}

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