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Orlov [11]
3 years ago
15

What is the inverse of the function f(x) = 2x – 10?

Mathematics
2 answers:
Lana71 [14]3 years ago
7 0

Answer:

h(x)=\dfrac{x}{2}+5

Step-by-step explanation:

You are given the function f(x)=2x-10. To find the inverse function f^{-1}(x) do such steps:

1. Rewrite the function f(x) as

y=2x-10

2. Express x in terms of y:

y+10=2x\\ \\x=\dfrac{y}{2}+5

3. Change x into y and y into x:

y=\dfrac{x}{2}+5

Now, the inverse function is

f^{-1}(x)=\dfrac{x}{2}+5

Trava [24]3 years ago
6 0

Answer:

Option D.

Step-by-step explanation:

The given function is

f(x)=2x-10

We need to find the inverse of the function f(x).

Step 1 : Substitute f(x)=y.

y=2x-10

Step 2: Interchange x and y.

x=2y-10

Step 3: Isolate variable y.

x+10=2y

\frac{x+10}{2}=y

\frac{x}{2}+\frac{10}{2}=y

\frac{x}{2}+5=y

y=\frac{x}{2}+5

Step 4: Substitute y=h(x).

h(x)=\frac{1}{2}x+5

The inverse of the function f(x) is h(x)=\frac{1}{2}x+5.

Therefore, the correct option is D.

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mrs_skeptik [129]

Answer:

Step-by-step explanation:

the shape is made up of 2 circles and one box add the 3 areas up

circle area = \pir^{2}

3.14*4^{2} = 50.24

50.24*2 =100.48

box, box,  pit now  :P  ooh I was thinking formula one racing,  ( i've been watching that lately)  anyway

box = 8*8 = 64

total = 164.48  is that an option? hmm, yes the bottom two choices.. now the perimeter .  the perimeter is made up of the 2 circles

the circumference of a circle is 2\pir

2*\pi*r

2*\pi*4 =25.1327    that's one whole circle , multiplied by 2 , I can see , by math in my head that's about 50.26

sooo

the 3rd choice looks good  :)

5 0
3 years ago
Could anyone that has taken or is currently taking math 3 go look at my profile pls? I posted a question and got a fake answer.
kozerog [31]

Answer:

I tried

Step-by-step explanation:

3 0
3 years ago
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

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7 0
3 years ago
Please assist me with this problem​
n200080 [17]

Answer:

The answer to your question is 90 dB

Step-by-step explanation:

Data

I = 10⁻³

I⁰ = 10⁻¹²

Formula

     Loudness = 10log (\frac{I}{Io})

Process

1.- To solve this problem, just substitute the values in the equation and do the operations.

2.- Substitution

     Loudness = 10 log (\frac{10^{-3}}{10^{-12}} )

3.- Simplify

      Loudness = 10log (1 x 10⁹)

      Loudness = 10(9)

      Loudness = 90

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3 years ago
Which is greater, the total length of the1/8 -inch tadpoles or the total length of the 1/4 -inch tadpoles?
Karolina [17]

Answer:

1/4-inch

Step-by-step explanation:

7 0
2 years ago
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