Question

find the inverse: f(x)=1/2+7^x ... please explain >.<

Answer 1

y = (1/2) + 7^x

Answer 2

finding the inverse is the same as reflecting the function over the line y=x

Answer 3

yea

Answer 4

sqitch variables x and y, swap them around

Answer 5

x = (1/2) + 7^y

Answer 6

mhm.. then what??

Answer 7

solve for y

x - (1/2) = 7^y

Answer 8

oh wait, its 1/(2+7^x)

Answer 9

\[\log _{7}(x-\frac{ 1 }{ 2 }) = y\]

Answer 10

\[y=1/(2+7^x)\]

Answer 11

oh

Answer 12

sorry

Answer 13

same process

Answer 14

x = 1 / (2 + 7^y)

Answer 15

wait why wouldn't it be 2x+14yx?

Answer 16

sorry here

Answer 17

x * (2 +7^y) = 1

2 +7^y = 1/x

Answer 18

7^y = 1/x - 2

Answer 19

\[y = \log _{7}(\frac{ 1 }{ x } -2)\]

Answer 20

THANK YOU SO MUCH

Answer 21

so y now equals the inverse function

\[f ^{-1}(x)\]

Answer 22

no prob

Answer 23

:)