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marusya05 [52]
3 years ago
8

Verify if 1/2x-2 and g(x) = 2x + 4 are inverses

Mathematics
1 answer:
Triss [41]3 years ago
5 0
They are inverses if f( (g(x)) = x

f((g(x)) =  (1/2) (2x + 4) - 2  = x + 2 - 2 = x

so this proves that g(x) is the inverse of f(x)

the other inverse g((f(x))  should also be = x
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Leni [432]

Answer:

CI=P*(1 + R/100)^18

A=(CI + P) = P(1+R/100)^18

13500/P=1(100+R/100)^18

A/P=(100+R/100)^18

A/P=(100+R/100)^18

A=13500$        as (750 * 18)

(13500)/P=(1 +1.15/100)18

(13500)/P=(1+1.15/100)18

13500=((1.0115)^18

P=R$10989.02

Step-by-step explanation:

CI=Compound Interest

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3 0
3 years ago
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JulsSmile [24]

Answer:

z=24 y=5 x=12

Step-by-step explanation:

x+8=20  x=20-8 x=12

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4 0
3 years ago
Please help me with fuction problems.
DerKrebs [107]

1) For each of these, keep in mind vertex form: f(x)=a(x-h)^2+k. With vertex form, a is the direction and width, h is the horizontal placement of the vertex, and k is the vertical placement. For the first one, notice that "a" is positive 1, so it faces up. This means that D, the one facing down, cannot be the answer. "h" is 1, so we will move the vertex to the right one unit (keep in mind (x-h), so if it were to be (h+3) you would move it to the left, not the right). "k" is -3, so we would move the vertex down 3 units. That said, the vertex should be at (1,-3) so the answer is C, or the one right below the first one.

2) The graph of f(x)=|2x| translated 5 units to the left means that h is equal to -5. When we plug -5 into vertex form, it should look like: g(x)=|2(x+5)|. The answer to this is A.

3) The equation for reflection on the x axis is f(x)=-a(x-h)+k. So, if the parent function f(x)=4|x| were to be reflected on the x axis, the function would look like this: g(x)=-4|x|. The answer to this should be B.

4) Since h=1 and k=0 in the function f(x)=-3|x-1|, the vertex will be (1,0).

5) This can also be written as g(x)=|x|-3. This means that k=-3, and will be a vertical translation of 3 units down.

8 0
3 years ago
Read 2 more answers
4va olleckpoiniDiscrete Mathematics OL v1 A - Koscianski, Megan / Chapter 2: Set TheoryRD 2. Use the accompanying Venn diagram t
Blababa [14]

The elements that are neither in set A nor set B are: {10}

Answer: 10

8 0
1 year ago
Send help please help :D
Svetllana [295]

Answer:

A) Slope =

m =  \frac{1}{4} x

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

m  =  \frac{rise}{run}  =  \frac{y2 - y1}{x2 - x1}

so in this case x1 & y1 are assigned to (4,1)

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  • 1 = y1

and x2 & y2 are assigned to (8,2)

  • 8 = x2
  • 2 = y2

so substitute the numbers into the formula and solve !

m= \frac{y2 - y1}{x2 - x1}  =  \frac{2 - 1}{8 - 4}  =  \frac{1}{4}

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

5 0
3 years ago
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