Question

f(x)=1-3^x
the graph of f is reflected over the line y=x. what is the name of function of the new graph?

Answer 1

i think that will be a straight line through which this will be reflected.

Answer 2

the inverse 0.o

Answer 3

f¯¹(x)

Answer 4

i have no idea.

Answer 5

y = 1-3^x
x = 1-3^y
then solve for y.. I.. don't know how to do that for this problem...

Answer 6

you are going to have to use logarithms

Answer 7

\[ \log_{3}\left| -x+3 \right| =\log_{3}3^y\]\[y=\log_{3}\left| -x+3 \right|\] I think I could be very very wrong lol

Answer 8

saifoo its add maths funtion

Answer 9

\[y = 1 - 3^{x}\]
switch variables
\[x = 1-3^{y}\]
solve for y
\[3^{y} +x = 1\]
\[3^{y} = 1-x\]
\[\log 3^{y} = \log (1-x)\]
\[y*\log 3 = \log(1-x)\]
\[y = \frac{\log (1-x)}{\log 3}\]

Answer 10

what is the name of function of the new graph?
no name

Answer 11

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

Answer 12

f(x)\[=1-3^x\]
f(x)=y
\[f(y)^{-1}=x\]
y=1-3^x
1-y=3^x
\[\log_{3}(1-y)=x \]

\[f(y)^{-1}=x\]
\[f(y)^{-1}\]=\[\log_{3}(1-y)\]
if u insert x instead of y
\[f(x)^{-1}\]=\[\log_{3}(1-x)\]