Question

find the inverse of the function and graph the function and its inverse on the same set of axes

Answer 1

\[f(x)=3^{x+2}-4\]

Answer 2

@hartnn ??

Answer 3

@ganeshie8

Answer 4

i know i have to take the log of it to get the exponent right ?

Answer 5

yup! keep going...

Answer 6

solve for x first

Answer 7

\(f(x)=3^{x+2}-4\)

\(x = ?\)

Answer 8

??

Answer 9

add 4 ?

Answer 10

yes add 4 both sides

Answer 11

\(f(x) = 3^{x+2}-4\)

add 4 both sides

\(f(x)+4 = 3^{x+2}\)

take \(log_3\) both sides

\(\log_3 (f(x)+4) = \log_3(3^{x+2})\)

\(\log_3 (f(x)+4) = (x+2) \log_3(3)\)

\(\log_3 (f(x)+4) = x+2 \)

subtract 2 both sides

\(\log_3 (f(x)+4) -2 = x \)

switch x and f(x)

\(\log_3 (x+4) -2 = y\)

Answer 12

thats ur inverse funciton

Answer 13

sketch both the functions on one graph paper