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Liono4ka [1.6K]
3 years ago
15

If the range of the function f(x) = 4x – 3 is {11.4, 15, 17, 29}, what is its domain?

Mathematics
2 answers:
Irina18 [472]3 years ago
5 0
The range is the y-component of the function

the function looks like it just consists of 4 points which have y-coordinates of 11.4, 15,17, and 29

so in order to find domain (x-component of the function), you just substitute each y value, and find the corresponding x-value

11.4 =4x -3
14.4=4x
x=14.4/4

15=4x-3
18=4x
x= 18/4

etc etc
Temka [501]3 years ago
5 0
Range is the output

basically
f(x)=range
just solve for the values of x that make them true

just solve
4x-3=11.4
4x-3=15
4x-3=17
4x-3=29
those values aer the domain

solving each
add 3 to both sides
4x=14.4
4x=18
4x=20
4x=32

divide both sides by 4

x=3.6
x=4.5
x=5
x=8

the domain is D={3.6, 4.5, 5, 8}
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(7x-y=7<br>(x+2y=6 estimate the solution to the system of equations ​
jolli1 [7]

Multiply the first equation by 2 to then use elimination by adding the 2 equations.

So, 14x-2y=14

+. x+2y=6

Equals 15x=20 so x=20/15=4/3

Plug in to first equation to get y

7(4/3)-y=7

28/3-y=7

28/3-y=21/3

So y=7/3

Plug both x and y into second equation to check

4/3+2(7/3)=

4/3+14/3=18/3=6 it works

So x=4/3, y=7/3

Hope this helps! Have a blessed day!

8 0
3 years ago
Let f(x)=2x-1 and g(x)=x^2 -3. Find (f o g)(-3)
anzhelika [568]
(f o g)(-3) = (f(g(-3))
Because g is on the inside, we carry out g first.

g(x) = x^2 - 3
Substitute -3 in for x.
g(-3) = (-3)^2 - 3 = 9 - 3 = 6
g(-3) = 6

Next, carry out f on the result of g(-3)
f(6) = 2(6) - 1
      = 12 - 1
      = 11
So the answer is 11.

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13is the answer i think
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Norma-Jean [14]

Answer:

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<em>The more spread out your graph is, the greater the standard deviation.</em>

So the option with the most spread out graph, which I think is A, can't see very clear.

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