140k views
3 votes
Select the correct answer. Which function represents the inverse function of the function f(x)=x^2 +5

User Yansky
by
8.4k points

1 Answer

2 votes

Answer:

f^(-1)(x) = ±√(x - 5).

Explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

User Naga Botak
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.