Find the inverse of the function on the

Haylee Bowen

Haylee Bowen

Answered question

2022-04-14

Find the inverse of the function on the given domain
f(x)=(x10)2,[10,)
f1(x)= .....
Note: There is a sample student explantion given in the feedback to this question.

Answer & Explanation

mislifola5vo

mislifola5vo

Beginner2022-04-15Added 11 answers

Step 1
Take the given function as equal to y the and d find value of x in terms of y.
Step 2
f(x)=(x10)2[10,)
Ifence y=(x10)2
(x10)=y()
x(y()+10)
Hence f1(x)=(x()+10)
calcinaretnbz

calcinaretnbz

Beginner2022-04-16Added 5 answers

Step 1
f(x)={({x10})2},[{10,})
Replace f(x) with y
y=(x10)2
Interchange x and y
x=(y10)2
Take the square root
±x()=y10
Add 4 to each side
10±x()=y
Rename the function f1(x)
{f1}(x)=10±x()
Domain [10,), so
f1(x)=10+x()

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