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.
You might be interested in
Answer: Choice C. and Choice E.
Step-by-step explanation:
Algebraic exponents.
The line is already written in the
form. This means that
is the slope. If two lines are perpendicular, their slopes are the anti-inverse of each other, i.e. their product is -1.
So, our perpendicular line has a slope of
Finally, we want a line passing through (1,1) with slope :