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N76 [4]
3 years ago
11

If f(g(x))=x and f(x) = 3x – 4, find g(x)

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0
f(g(x))=x;\ f(x)=3x-4\\\\therefore3[g(x)]-4=x\ \ \ |add\ 4\ to\ both\ sides\\\\3[g(x)]=x+4\ \ \ \ |divide\ both\ sides\ by\ 3\\\\g(x)=\dfrac{x+4}{3}\\\\Answer:\boxed{B.\ g(x)=\dfrac{x+4}{3}}
Virty [35]3 years ago
5 0
We can do reverse engineering to identify the function or expression of g(x). we can try each function as g(x).

a. f(g(x)) = 3*( (x-4)/3) – 4 = x-4-4 = x -8
b. f(g(x)) = 3*( (x+4)/3) <span>– 4  = x+ 4 -4 = x

Hence the answer should be B</span>
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Help please fast the format is Y-____=_____(x - ____) and i need the actual answer
mojhsa [17]

9514 1404 393

Answer:

  • y -195 = 15(x -9)
  • $60

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

  y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

  y -195 = 15(0 -9)

  y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

5 0
2 years ago
Can someone answer this?
Elina [12.6K]
<h3>Answer:  a = 100</h3>

=============================================================

Explanation:

There are n = 7 sides to this polygon (so it's a heptagon)

The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.

So that means,

69+284+62+62+242+81+a = 900

800+a = 900

a = 900-800

a = 100

6 0
3 years ago
If a height of a cone is doubled then keeping the same radius how much time the volume will increase
vaieri [72.5K]
Volume of cone = pi* r^2 *h/3

If you double the height ;
New volume = pi * r^2 * 2h/3

So, new volume will be twice as much.
7 0
3 years ago
4x-3=5x-21 what does x=
torisob [31]
U subtract 4x by 5x and then you add 3 by -21 and the answer is x=18
3 0
3 years ago
An amateur soccer ball is priced at
Oduvanchick [21]

Answer: $26

Step-by-step explanation:

   If $19.50 is 3/4, we need to find 4/4.

3/4 -> 0.75

4/4 -> 1

    We will set up a proportion and solve.

\frac{19.5}{0.75} =\frac{x}{1}

19.5 = 0.75x

26 = x

         The professional ball is $26.

4 0
2 years ago
Read 2 more answers
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