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# Inverse Functions

### Math 113 Online Study Stack

Determine whether the function is a one-to-one function: f={(-6,-6),(9,9),(7,1),(1,7)} Yes, the function is a one-to-one function.
Determine whether the function is a one-to-one function: f(x)=(x-3)/(x+2) Yes, the function is a one-to-one function.
Determine whether the function is a one-to-one function: f={(13,14),(2,1),(1,2),(4,4)} Yes, the function is a one-to-one function.
Given the one-to-one function f(x)=x^3+4 find the following: f(1) f(1)=5
Given the one-to-one function f(x)=x^3+3 find the following: f(-3) f(-3)=-24
Given the one-to-one function f(x)=x^3+4 find the following: f^-1(5) f^-1(5)=1
Find the inverse of the following one-to-one function: f(x)=2x-5 f^-1(x)=(x+5)/2
Find the inverse of the following one-to-one function: f(x)=1/2x-3 f^-1(x)=2x+6
Find the inverse of the following one-to-one function: f(x)=(x-3)/4 f^-1(x)=4x+3
Given the one-to-one function f(x)=x^3+3 find the following: f^-1(-24) f^-1(-24)=-3
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