Question

Which function below is the inverse of f(x) = x2 − 36?

x squared over 36
±6square root of x
1 over quantity x squared minus 36
±square root of the quantity x plus 36

Answer 1

f(x) = x^2 - 36

y = x^2 - 36 .... replace f(x) with y

x = y^2 - 36 .... swap x and y

now solve for y to get the inverse

Answer 2

solve for y=x^2 -36, correct?

Answer 3

yes

Answer 4

Being option D?

Answer 5

\[\pm \sqrt{x+36}\]

Answer 6

Nope

Answer 7

f(x) = x^2 - 36 y = x^2 - 36 .... replace f(x) with y x = y^2 - 36 .... swap x and y now solve for y to get the inverse

Answer 8

f(x)=y=x2−36inverse⟹x=y2−36

notice to get the "inverse relation", we'd firsts swap about the variables, then solve for "y"

Answer 9

I tried that, I cant get it.

Answer 10

f(x)=y=x2−36inverse⟹x=y2−36x+36=y2then take −−−−√ to both sides

Answer 11

consider f(x) = y
y = x^2 - 36
y+36 = x^2
x = sqrt(y+36)
now consider f(x) = y => x =f^-1(y)
=> f^-1(y) = sqrt(y+36)
therefore f^-1(x) = sqrt(x+36)
Did you get it now???

Answer 12

? :?

Answer 13

Yes,, D is right

Answer 14

I'm sorry, no. I get a complete mind block.

Answer 15

@Pawanyadav How did you conclude "D"

Answer 16

As you already have
y+36=x^2
So for inverse interchange x,y
You will get
x+36=y^2
Square root both side
+-√(x+36)=y so D

Answer 17

Okay, thank you.

Answer 18

You're welcome