Question

Which function is the inverse of f(x)=x^2-25

Answer 1

f(x) = x² -25

Step 1:

write f(x) as y

y=x² -25

Step 2:

switch x as y and y as x

x=y²-25

Step 3:

solve for y

x=y²-25

add 25 to the left side

x+25 = y²

taking square root on both sides

y=√(x+25)

f⁻⁻¹(x) =√(x+25)

Answer 2

To find the inverse of a function, firt we let

`f(x) = y= x^2-25`

Now we switch x and y and solve for y .

`x = y^2 -25`

Adding 25 to both sides

`x+25 = y^2`

Now we need to get rid of square and for that we take square root on both sides. That is

`y = +- √(x^2 +25)`

Therefore, inverse is

`f^(-1)(x) = - √(x^2 +25) , √(x^2 +25)`