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Annette [7]
2 years ago
14

Which function is the inverse of ſx) - 2x+ 3?

Mathematics
1 answer:
Sonbull [250]2 years ago
5 0

If f^{-1}(x) is the inverse of f(x), then

f\left(f^{-1}(x)\right) = x

which means

2f^{-1}(x)+3 = x

Solve for f^{-1}(x) :

2f^{-1}(x) + 3 = x \\\\ 2f^{-1}(x) = x - 3 \\\\ f^{-1}(x) = \dfrac{x-3}2 = \boxed{\dfrac12x-\dfrac32}

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)
malfutka [58]

Answer:

The magnitude is  \Delta f(0,8)  =  72

The  direction  is  i i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

   The function is  f(x, y) =  9sin(xy) \ \ \

    The point considered is  (0,8 )

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

            \Delta f(x,y) =  [\frac{\delta  f(x,y)}{\delta x } i + \frac{\delta  f(x,y)}{\delta y } j  ]

             \Delta f(x,y) =  [\frac{\delta  (9sin(xy))}{\delta x} i  + \frac{\delta  (9sin(xy))}{\delta y} i   ]

            \Delta f(x,y) = [9y cos (x,y) i +  9xcos (x,y) j]

At  (0,8 )

            \Delta  f (0,8) =  [9(8) cos(0* 8)i  + 9(8) sin(0* 8)j  ]

            \Delta  f (0,8) = 72 i

3 0
2 years ago
In the diagram m angle ACB = 61<br> Find m angle BCD
Marina86 [1]

we are given that

angle(ACF)=90

angle(ACB)=61

sum of all angles along any line is 180

so, we get

angle(ACF)+angle(ACD)=180

we can plug value

90+angle(ACD)=180

angle(ACD)=90

now, we can use formula

angle(ACD)=angle(ACB)+angle(BCD)

now, we can plug values

and we get

90=61+angle(BCD)

90-61=61-61+angle(BCD)

angle(BCD)=29................Answer


7 0
3 years ago
Read 2 more answers
What? I don’t under stand
s2008m [1.1K]

Answer:

? = h

Step-by-step explanation:

v = lwh

v / wh = lwh / wh

v / wh = l

Hopefully this helped!

Brainliest please?

5 0
2 years ago
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Help plz, just give me the points on the graph thanksss &lt;33
Kryger [21]
Very simple, we don’t know the units on the graph but I can tell you it will be linear until when it breaks the rule and goes .2 grams one year
4 0
3 years ago
Given:Bc biscects ABD mAbd=52° prove: mABC =26°<br>​
vovikov84 [41]

Answer:

Angle Bisector Theorem

Step-by-step explanation:

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