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Oliga [24]
3 years ago
8

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = (8/x^2) + 4

Mathematics
1 answer:
rjkz [21]3 years ago
6 0
Y=f(g(x))      and      y= \frac{8}{x^{2}}+4


our aim is to express f as a function of g, where g is a function itself, of x.

in the expression tex]y= \frac{8}{x^{2}}+4 [/tex] we may notice 2 functions:

the squaring x function, which may well be our g: g(x)= x^{2}

and the "8 divided by x, +4" function: f(x)= \frac{8}{x}+4


check : 

f(g(x))= \frac{8}{g(x)}+4

because whatever the input of f is, it divides it from 8, and adds 4 to the division. 

since, g(x)= x^{2}, 

f(g(x))= \frac{8}{g(x)}+4=\frac{8}{x^{2}}+4


Answer:

g(x)= x^{2}

f(x)= \frac{8}{x}+4
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3. Emma said that when you multiply three negative decimals , the product will be positive . Use these numbers to answer the que
mina [271]

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

  • When two numbers of different signals are multiplied, the result is negative.
  • When two numbers have the same signal, the result is positive.

Part A:

  • Three numbers are multiplied, all negative.
  • The multiplication of the first two result in a positive number.
  • Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.

Two examples are:

-2.5(-3.8)(-2) = 9.5(-2) = -19

-2.5(-2)(-0.7) = 5(-0.7) = -3.5

Part B:

The rule is that the result is always negative.

Part C:

  • The multiplication of the first two negative numbers result in a positive number.
  • Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.

Two examples are:

-2.5(-3.8)(2) = 9.5(2) = 19

-2.5(-2)(0.7) = 5(0.7) = 3.5

A similar problem is given at brainly.com/question/24764960

5 0
2 years ago
For the direct variation such that when y = 2 then x = 3 , find the constant of variation ( k) and then find the value of y when
Sergeu [11.5K]

Answer:

k is 2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

8 0
3 years ago
WILL REWARD/// BRAINLIEST/// 20 POINTS
eimsori [14]
Right triangles have 3 sides and can be named according to an angle other than the 90 degree one. They are named opposite, adajacent, and hypotenese.
Then use SOHCAHTOA.
SOH means sin equals opposite/hypotunse.
CAH means cosine equals adjacent/hypotnuse.
TOA means tagent equals opposite/adjacent.
Hard to explain without a diagram. :)
4 0
3 years ago
The circumference of a circular field is 200.96 meters. What is the diameter of the field? Use 3.14.
artcher [175]

Answer:

1262.0288

Step-by-step explanation:

2×3.14×200.96

3 0
3 years ago
I need help with this
Stells [14]

Answer:

AB = 21

Step-by-step explanation:

So we have two triangles (AEB and ADC), and they're similar by AA

Now, you can find the ratio of similitude by checking AE/AD which is 14/26 = 7/13

AB/AC = 7/13

Take AB as x aight

x/x+18 = 7/13

x=21

5 0
3 years ago
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