To determine the inverse of the given function, switch x and y and solve for y.
Inverse: y=x-7/5 Result:Yes, the inverse is a function.
Practice makes perfect
We want to find the inverse of the given function. To do so, we need to switch x and y and solve for y.
y=5 x+7 → x=5 y+7The resulting equation will be the inverse of the given function.
Now that we found the inverse of the given function, we can determine whether the inverse is a function. We need to recall that function is a relation where each input is related to exactly one output. In our case, we can see that for each x, there is exactly one value of y.
If x=a, then y=a-7/5.
Therefore, the inverse is a function.
