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KIM [24]
3 years ago
14

Find f(x) and g(x) so the function can be expressed as y = f(g(x)) y = Seven divided by x squared. + 10

Mathematics
2 answers:
RSB [31]3 years ago
7 0

Answer:

  • f(x) = \frac{7}{x^{2} } + 10
  • g(x) =  \frac{7}{x^{2} }

Step-by-step explanation:

Given that:

y = f(g(x)) = \frac{7}{x^{2} } + 10

It is obviously that g(x) is put as an independent variable of f(x) to have the equation of y written above.

So

  • f(x) = \frac{7}{x^{2} } + 10
  • g(x) =  \frac{7}{x^{2} }

Hope it will find you well.

Damm [24]3 years ago
6 0
F(x) = 7/x
g(x)=x²+10

Then f(g(x))= 7/(x²+10)

By the way    g(f(x))=(7/x)² + 10
 
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this graph displays the speed of my CPU relative to the temperature. based on the graph, what is the rate of my CPU speed over t
sashaice [31]

Answer: Gamers and Graphic Designers are high-performance users. They use to replace parts so that the PC would run fast. Gamers used to overclock the PC so that the online games will run smoothly but overclocking can increase the CPU temperature.

Step-by-step explanation:

7 0
3 years ago
Can y’all help me on this I just don’t understand it’s find su and m is the midpoint
kramer

Answer:

SU = 70

Step-by-step explanation:

First, we need to find the value of x. Since M is the midpoint of SU, that means that SM = MU, therefore:

x + 15 = 4x - 45

15 = 3x - 45

60 = 3x

x = 20

We know that SU = SM + MU = (x + 15) + (4x - 45) = 5x - 30 and that x = 20 so SU = 5x - 30 = 5 * 20 - 30 = 100 - 30 = 70.

6 0
3 years ago
find the dimensions of a rectangle whose width is 4 miles less than its length and whose area is 96 square miles
Scilla [17]

Answer:

12 miles by 8 miles

Step-by-step explanation:

Let length be represented by x

Since width is 4 miles less than the length, therefore, the width will be (x-4) miles

Area=Length*Width

Area=x(x-4)=x^{2}-4x

Area is given hence

x^{2}-4x=96

To write the above equation as a quadratic equation

x^{2}-4x-96=0

By factorization, we find two numbers whose sum is -4 and product is -96, these are 8 and -12. Therefore, taking these two numbers back to our equation

(x+8)(x-12)=0

Therefore, x=-8 or 12

Equally, using quadratic formula of

x=\frac{-b±\sqrt{b^{2} -4ac}}{2a} for equation ax^{2}+bx+c=0 and in our case a=1, b=-4 and c=-96

x=\frac{4±\sqrt{(-4)^{2} -(4*1*-96)}}{2*1}

x=-8 or 12

Since length can't be negative, hence x=12

The length is 12 miles

Width=12-4=8 miles

Dimensions: 12 miles by 8 miles

3 0
3 years ago
Gina bought 2.5 pounds of peaches that cost $1.38 per pound at the grocery store. amy went to the local farmer's market and purc
devlian [24]
Gina 2.5 * 1.38 = $3.45
Amy 3.5 * .98 = $3.43
Gina spent more money by .02

7 0
3 years ago
Read 2 more answers
which of the following is a polynomial expression a. 2^x + x + 3 b. x^2 + 2x + 7 or c. 1/x + 1/x2 + 1/x3 ( btw the ^2 means it’s
NeTakaya

(b)

A polynomial has the form

a_{0}x^{n} ± a_{1}x^{n-1} + ....

the only expression fitting this description is : x² + 2x + 7


5 0
3 years ago
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