SOLUTION: Functions that aren't invertible can be made invertible by restricting their domains. For example, the function $x^2$ is invertible if we restrict $x$ to the interval $[0,\infty)$,

Question 1209620: Functions that aren't invertible can be made invertible by restricting their domains. For example, the function $x^2$ is invertible if we restrict $x$ to the interval $[0,\infty)$, or to any subset of that interval. In that case, the inverse function is $\sqrt{x}$. (We could also restrict $x^2$ to the domain $(-\infty,0]$, in which case the inverse function would be $-\sqrt{x}$.)

Similarly, by restricting the domain of the function $f(x) = 10x - 4$ to an interval, we can make it invertible. What is the largest such interval that includes the point $x = 0$? (In this case, "the largest such interval" refers to the interval that contains all other such intervals.)
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

????!!

The given function is linear; it is invertible without restricting the interval.

ANSWER: (-infinity,infinity)

RELATED QUESTIONS
Some functions that aren't invertible can be made invertible by restricting their... (answered by stanbon)

Can quadratic functions be invertible? For example f(x)=4x^2+12x+9 Please give the... (answered by josgarithmetic)

For each of the following functions, determine if the function is increasing, decreasing, (answered by CPhill)

For each of the following functions, determine if the function is increasing, decreasing, (answered by CPhill,ikleyn)

For each of the following functions, determine if the function is increasing, decreasing, (answered by CPhill)

Let T:R^3➜R^2 be defined as T(x, y, z) = (x+y, y-z). Is T Invertible? How can... (answered by ikleyn)

For each of the following functions, determine if the function is increasing, decreasing, (answered by CPhill)