Answer:
f-¹(x) = (4- x)/ 3
Step-by-step explanation:
inverse of a function is nothing but the value of x in terms of f(x)
like
if we write f(x) as y we'd get
y = - 3x + 5
so, ill express x in terms of y:-
y= -3x + 4
- adding 3x on both sides of the equation
y + 3x = -3x + 3x + 4
- subtracting y on both sides
y - y + 3x = 4 - y
3x = 4 - y
- dividing the whole equation by 3
x = (4 - y)/ 3
soo, the inverse of the function is x = (4- y)/ 3
mostly we write the inverse in terms of x, hey! don't get confused, when i say this, I simply mean that we're gonna replace y with x and x with f-¹(x).
therefore,
f-¹(x) = (4- x)/ 3
For palarell lines, slope are equal.
slope of first line = (y2 - y1)/(x2 - x1) = (-7 - 9)/(-12 - 8) = -16/-20 = 4/5
equation of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (-5, -15) and m = 4/5.
Therefore equation of the line is y - (-15) = 4/5(x - (-5))
y + 15 = 4/5(x + 5)
Answer:
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Step-by-step explanation:
F ^-1 (x) = x - 4 + square -8x+x^2+76 ,
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6
x-4- square -8x+x^2 + 76
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6
Area of shaded region = 34 cm²
Area of shaded region = Area of bigger rectangle - Area of smaller rectangle.
Area (big) :
Area (small) :
Area of shaded region :
Area of shaded region = 34 cm²
