1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
Why am i ugly please tell me
DIA [1.3K]

Answer:

your not ugly you have beauty or handsomeness in your own way you just don't show or give effert trust me I used to say that until someone told me what I told you

3 0
3 years ago
Read 2 more answers
you buy a baseball and a bat and spend $31. the bat costs $19 more than the baseball. what is the price of the baseball? What is
Morgarella [4.7K]
The bat costs $25.50 and the baseball costs $5.50
4 0
3 years ago
Read 2 more answers
How many times can 448 go into 8
sveticcg [70]
It goes in 56 times. 448/8=56

7 0
3 years ago
Read 2 more answers
find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft heigh
Masja [62]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Give an equation of a line that is parallel to −3x + 7y =4. Explain why your line is parallel to the given line and how you arri
koban [17]

Answer:

  3x -7y = 0

Step-by-step explanation:

Parallel lines have the same slope.

Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.

The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.

Parallel line:

  -3x +7y = 0

In standard form:

  3x -7y = 0

3 0
2 years ago
Other questions:
  • June’s health insurance policy requires a copayment of $35 for each office visit and a copayment of $25 for each of her prescrip
    9·1 answer
  • 3. Find the angle complementary to the angle 80°25′. A. 180° B. 9°35′ C. 90° D. 99°35′
    15·1 answer
  • Write down the temperature shown?
    7·1 answer
  • Write the equation of a line in slope-intercept form that goes through the points
    13·1 answer
  • Which organization works to improve payment arrangements and other financial dealing between countries
    10·1 answer
  • Three seedless watermelons cost 27 if pp buys 4 seedless watermelons at that same unit price how much will he pay
    8·1 answer
  • Solve for B. R = x(A + B)
    8·2 answers
  • The area of the pacific ocean is more than 60 million square miles. What is that in scientific notation? ​
    6·1 answer
  • If x=6 and y=−4, evaluate the following expression:10+5xy​
    9·2 answers
  • Rosa bought 3 pairs of shoes. Each pair cost $40. She paid $120<br> for all three pair.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!