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atroni [7]
3 years ago
6

What is the inverse of the function f(x) = x +3?

Mathematics
2 answers:
Yanka [14]3 years ago
8 0

Answer:

C)h(x) = x-3

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".

f(x) is the y value.

y = x + 3

x = y + 3   Switch x and y

x - 3 = y     Subtract 3 from both sides to isolate

y = x - 3   Change back to function of h

h(x) = x - 3

Elodia [21]3 years ago
8 0

Answer:

Step-by-step explanation:

hello :

note : g is the inverse of g : f0g = g0f = x

answer : C  the inverse is : g(x) = x-3 because : (f0g)(x) = f(g(x))=f(x-3) = (x-3) +3 = x

and (g0f)(x) =g(f(x)) = g(x+3) = (x+3) - 3 = x

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Need help 8th grade math
Lana71 [14]

Answer:


Step-by-step explanation: try to get x in one side and the whole number to another side to get  x= blank


8 0
3 years ago
Read 2 more answers
A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width
Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = 1\ m=100\ cm

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

Length=4x+5

Now we use the formula of  perimeter of rectangle,

Perimeter=2(Length+width)

On substituting the values, we get;

2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9

Now, we substitute the value of x to get the value of length;

Length=4x+5=4\times9+5=36+5=41\ cm

Thus, Width=9 cm    Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0
3 years ago
A car completes a journey at an average speed of 40km/h.At what speed must it travel on the return journey if the average speed
nalin [4]
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
5 0
3 years ago
How many times could you expect to roll a number that is not 5 if you rolled a standard die 360 times?
Alinara [238K]

The number of times I would expect to roll a number that is not a 5 is 300 times.

<h3>What is the number of times a 5 won't be rolled?</h3>

A standard die has 6 faces. There are 5 numbers that are not 5 on a standard die. They are 1, 2, 3, 4, 6.

The number of times a 5 won't be rolled = (5/6) x 360

5 x 60 = 300 times

To learn more about a standard die, please check: brainly.com/question/20376457

#SPJ1

6 0
1 year ago
Can someone help me, please ?? im stuck 
Tresset [83]

Part A

5x - 5 >= 10 or-3x + 1 > 13

1) This is a disjunction (OR)

5x - 5 >= 10

5x >= 15  

 x >= 3

or

-3x + 1 > 13

-3x > 12

  x < -4

Answer

x <- 4 or x >= 3


Part C:

1) This is a conjunction (And)

5x+ 3 <= 18 and 4 - x < 6

5x <= 15       and  - x < 2

 x <= 3    and        x > -2

Answer

-2 < x <= 3

8 0
3 years ago
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