Test of a horizontal line.Suppose f is a function.F does not have an inverse if any horizontal line crosses the graph of f more than once.F does have an inverse if no horizontal line crosses the graph of f more than once
How do you calculate f's inverse?
- Finding a Function's Inverse
- Replace f(x) with y first, then.
- Every x must be replaced with a y, and vice versa.
- Solve the y-part of the equation from step two.
- In place of y, write f1(x) f 1 (x).
- Check that (ff1)(x)=x (f f f 1) (x) = x and (f1f)(x)=x (f f 1 f) (x) = x are both true to validate your work
f= {(1,2),(2,3),(3,5),(4,7)}
Dom(gof)=dom(f)={1,3,4}.
(gof)(1)=g{f(1)}=g(2)=3,
(gof)(3)=g{f(3)}=g(5)=1
(gof)(4)=g{f(4)}=g(1)
∴gof={(1,3),(3,1),(4,3)}.
To learn more about inverse functions refer
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A1 There are two ends so their combined surface area is 2 π * r2. The surface area of the side is the circumference times the height or 2 π * r * h, where r is the radius and h is the height of the side. The entire formula for the surface area of a cylinder is 2 π r2 + 2 π r h. so add the number of the height and radius plug in and you will get the answer for that.
Answer:
5
Step-by-step explanation:
For positive numbers, the floor function y = ⌊x⌋ gives the integer portion of the number.
⌊5.7⌋ = 5
20.5 is the IQR of the given set of numbers.
