vbraxtonh1949 vbraxtonh1949
  • 12-09-2022
  • Mathematics
contestada

what is the inverse of h(x)=7x^2+8 with the domain restriction x greater than or equal to 0

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MrRoyal
MrRoyal MrRoyal
  • 14-09-2022

The inverse of the function is f-1(x) = √1/7(x - 8)

How to determine the inverse of the function?

The function is given as

h(x) = 7x^2 + 8

Express h(x) as y

So, we have

y = 7x^2 + 8

Swap the positions of x and y

So, we have

x = 7y^2 + 8

Rewrite as

7y^2 = x - 8

Divide by 7

y^2 = 1/7(x - 8)

Take the square roots

y = √1/7(x - 8)

Hence, the inverse of the function is f-1(x) = √1/7(x - 8)

Read more about inverse function at:

https://brainly.com/question/14796161

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