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4 years ago

Et f(x) = x2 + 6 and g(x) g(x) x+8/x . Find ( g o f)( -7)

Mathematics

1 answer:

earnstyle [38]4 years ago

6 0

Answer:

Step-by-step explanation:

A function composition is where one function is substituted within another function and is written g(f(x)). Here we will substitute f(x) into g(x). For g(f(-7)), we substitute -7 for x.

$\frac{x^2+6+8}{x^2+6}$

Now substitute -7 for x.

$\frac{x^2+6+8}{x^2+6} = \frac{(-7)^2+6+8}{(-7)^2+6}=\frac{49+6+8}{49+6}=\frac{63}{55}$

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Answer:

7/16

Step-by-step explanation:

You keep adding 1/16

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3 years ago

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3 years ago

a store pays the fees when a customer uses credit card to make a purchase. these fees include a flat fee of $0.15 and a processi

svet-max [94.6K]

Calculate processing fee:
1.75% x $60 = 0.0175 x 60 = $1.05

Calculate total fee:
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Answer: The store pays $1.20.

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3 years ago

I need help pls I WILL GIVE BRAINLIEST Pls help

uranmaximum [27]

Answer:

1. The square root of 100

2.c=27.11

d=13.96

e=12.6

Step by step explanation: 

1. 2×50=100 the geometric mean is the square root of 100

2. The diagram is made up of three right angled triangles the big outer one and two triangles inside the big one thus we can use the pythagorean theorem to come up with expressions which will help us in solving the unknown parts as below.

c²=30²-d²

c²=e²+24²

d²=e²+6²

both the following add up to c² meaning they are equal:

c²=30²-d²

c²=e²+24²

thus

30²-d²=e²+24²

I want to remain with d² only thus;

30²-24²-e²=d²

900-576=324 (squareroot of 324=18) so

d²=18²-e² and d²=e²+6²

both the above add up to d² meaning they are equal thus;

18²-e²=e²+6²

18²-6²=e²+e²

324-36=2e²

318=2e²

159=e²

e=12.61

Thus d²=e²+6²

d²=12.61²+6²

d²=159+36

d²=195

d=13.96

c²=e²+24²

c²=12.61²+24²

c²=159+576

c²=735

c=27.11

 

I hope this helps

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3 years ago

Using Cramer's Rule, what are the values of x and y in the solutio

olya-2409 [2.1K]

Answer:

x = -3, y = 1

Step-by-step explanation:

To find the value of x and y, find the determinant of original matrix, which would be 21.

Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.

Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.

So, the x-value is -3.

You can find the determinant of the y-value in the same way, and you'll find out that y = 1.

Hope this helped! :)

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3 years ago

Et f(x) = x2 + 6 and g(x) g(x) x+8/x . Find ( g o f)(­ -7)

Et f(x) = x2 + 6 and g(x) g(x) x+8/x . Find ( g o f)( -7)