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

ok i got A

Answer 3

\(\bf f(x) ={\color{blue}{ y}}= {\color{brown}{ x}}^2 - 36\qquad inverse\implies {\color{brown}{ x}}= {\color{blue}{ y}}^2 - 36\)

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

Answer 4

oh ok nevermind its C

Answer 5

\(\bf f(x) ={\color{blue}{ y}}= {\color{brown}{ x}}^2 - 36\qquad inverse\implies {\color{brown}{ x}}= {\color{blue}{ y}}^2 - 36
\\ \quad \\
x+36=y^2\qquad \textit{then take }\sqrt{\qquad }\textit{ to both sides}\)

Answer 6

wow this is confusing. so my final answer has to be D then

Answer 7

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 8

yes i got it. its B lol thank you all