Pre-Cal
show that the given function is one-to-one and nd its inverse. Check your answers algebraically. Verify that the range of f is the domain of f^-1 and vice-versa.

f(x) =(x-2/3)+4

Question

Pre-Cal
show that the given function is one-to-one and nd its inverse. Check your answers algebraically. Verify that the range of f is the domain of f^-1 and vice-versa.


f(x) =(x-2/3)+4

anonymous · Answer

f[f^-1(x)]=((x-2/3) - 2/3)+4)

this is where i get stuck. help. how do i distribute that x-2/3

cwrw238 · Answer

i'm a little confused with this - in the formula for f(x) is this x - two thirds or  (x-2) / 3 ?

anonymous · Answer

f(x) =(x-2/3)+4 but i have to figure it out for f^-1(x) and f(x)=f^-1(x)

anonymous · Answer

@cwrw238

cwrw238 · Answer

well first simplify f(x):

f(x) = x - 2/3 + 12/3 = x + 10/3

x = f(x) - 10/3

giving the inverse

f-^1(x) = x - 10/3

cwrw238 · Answer

to check that this is correct inverse

f(f-1^x)) should equal x

anonymous · Answer

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