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

Wotzdorfg

Wotzdorfg

Answered question

2021-09-06

Let f be the function from R to R defined by f(x)=x2. Find
f1(xx>4)

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-09-07Added 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)}

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?