If f(x) = 5x, what is f–1(x)?
1 answer:
When you are finding an inverse of a function, you switch the x and the y and solve for the new y. Our y = 5x, when switching x and y will be x = 5y. Now we have to find the new y. Dividing both sides by 5 we get 
. The really cool thing about functions that are inverses of each other is that their coordinates, (x, y) are switched to. If a point (1, 2) is on f(x), the point (2, 1) is on the inverse. And they always reflect through the line y = x. Just a bit of info.
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<h2>Answer:</h2>
The graph is shown in the Figure below
<h2>Step-by-step explanation:</h2>In this exercise, we have an equation. On the left side we have a straight line with slope and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is
. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point
.