Answer:
f^(-1)(x) = \frac{-1}{5} (x+4)
Step-by-step explanation:
Given is a function

To find its inverse.
We must check whether f is one to one or onto first
If -5x1-4 = -5x2-4 we get x1=x2
Hence f is one to one
Also for every f(x) we can find a x so f is onto.
So inverse exists
Let

Replace x by f inverse and y by x

At the standard 0.05 value, this is not significant, however at a 0.01 level, it would be significant
Answer:
-13/84
Step-by-step explanation:
Calculation to Find the exact value of the trigonometric expression
First step is to find tan(u)
Based on the information given we were told that sin(u) = -3/5 which means if will have -3/5 in the 4th quadrant would have triangle 3-4-5
Hence:
tan(u)=-3/4
Second step is to calculate tan(v)
In a situation where cos(v) is 15/17 which means that we would have triangle 8-15-17
Hence:
tan(v) = 8/15
Now Find the exact value of the trigonometric expression using this formula
tan(u+v) = (tan(u) + tan(v))/(1-tan(u)tan(v)
Where,
tan(u)=-3/4
tan(v)=8/15
Let plug in the formula
tan(u+v)=(-3/4)+(8/15)÷[1-(-3/4)(8/15]
tan(u+v)=(-45+32)÷(60-24)
tan(u+v)=-13/84
Therefore exact value of the trigonometric expression will be -13/84
The two given triangles have two sides in the first equal to two sides in the second and an angle in the first equal to an angle in the second.
This means that we're looking for congruent triangles using SAS rule, this means that two sides and the included angle in one triangle are equal to the CORRESPONDING two sides and the included angle in the second triangle.
For the two given triangles:
JK = LK
NK = MK
angle JKN = angle LKM
Following this sequence, we can say that:
triangle JKN is congruent to triangle LKM
Checking the choices, we will find that the correct choice is: D