SOLUTION: determine the inverse for each of the following functions if it exists. show your work. a) f(x) = 7^x b). f(x) = log2 (x+3) -5 c). f(x). = e^(x+3) -3

Question 717018: determine the inverse for each of the following functions if it exists. show your work.
a) f(x) = 7^x
b). f(x) = log2 (x+3) -5
c). f(x). = e^(x+3) -3
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
determine the inverse for each of the following functions if it exists. show your work.
a) f(x) = 7^x
b). f(x) = log2 (x+3) -5
c). f(x). = e^(x+3) -3
***
To find the inverse of a function, interchange x and y, then solve for y (f^-1).
a) y = 7^x
x=7^y
logx=ylog7
f^-1=logx/log7
..
b). x = log2 (y+3) -5
x+5 = log2 (y+3)
2^(x+5)=y+3
f^-1=2^(x+5)-3
..
c). x = e^(y+3) -3
x+3=e^(y+3)
(y+3)lne=ln(x+3)
y+3=ln(x+3)
f^-1=ln(x+3)-3
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