Answer:
Step-by-step explanation:
Given
Required
Find 
First, we calculate the inverse function
Express f(x) as y
Swap the positions of x and y
Solve for y: Add 4 to both sides
Square both sides
Divide both sides by 2
Express y as an inverse function
Next, solve for:
Substitute 6 for x
If we draw a rhombus OABC on a coordinate grid with one vertex at the point O (0,0)
and let its height be 1 then (using the Pythagoras theorem) the coordinates of the 4 points will be as follows:-
O = (0,0) , A = (1, 1), B = (sqrt2+ 1 , 1) , C = (sqrt2, 0)
Slope of the diagonal OB = 1 / (sqrt2 + 1)
Slope of the other diagonal AC = - 1 / (sqrt2 - 1)
Product of the slopes = - 1 / ( sqrt2 + 1)(sqrt2 - 1) = -1 / 1 = -1
This proves that the diagonals are perpendicular.
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Answer:
5b +30
Step-by-step explanation:
5 · 6 = 30
5 · b = 5b
<span>If 5y*2=80 then y is equal to 8</span>
