Question

What is the inverse of the function f(x)=x+3

H(x)=1/3x+3
H(x)=1/3x-3
H(x)=x-3
H(x)=x+3

Answer 1

to get the inverse "relation" of any expression, simply start off by switching the variables, and then solve for "y".


`\bf f(x)=y=x+3\qquad inverse\implies \boxed{x}=\boxed{y}+3\implies \stackrel{f^(-1)(x)}{x-3=y}`

Answer 2

The inverse function of f(x)=x+3 is H(x)=x-3

Explanation:

In this case to get the inverse function we have to change the f(x) term with the x and then clear the equation to get the f(x). Solving it, we have:

`f(x)=x+3\\`

Changing the terms:

`x=f(x)+3`

Now, clearing the f(x):

`f(x)=x-3`

The inverse function of f(x)=x+3 is H(x)=x-3