Question

write the inverse of the given function
A.f(x)=2x-4
B.y=2^x

Answer 1

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 2

To write the inverse:

a) \(f(x) = 2x - 4\)
1. write it in terms of y: \( y= 2x - 4\)
2. switch y and x :\(x=2y -4\)
3. solve for y again: \(x+4 = 2y \implies y = \frac{x+4}{2}\)

Answer 3

and then 4. write function as \(f^{-1}(x)\):

Answer 4

x+4=2y⟹y=x+42 so this is the part a? what is part b?

Answer 5

try part b on your own following the same steps :)

Answer 6

It's just one step really

Answer 7

I'll help you if you get stuck

Answer 8

Hint: Logarithms

Answer 9

so y=2^x what would i do first?