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blsea [12.9K]
4 years ago
13

PLEASE HELP ME!!!!!!!!!!!!! Let f(x)=x^2+7 and g(x)=x-3/x find (f o g) (-8)

Mathematics
2 answers:
blagie [28]4 years ago
7 0

Answer:

f{\circ }g(-8)=\frac{781}{8}

Step-by-step explanation:

We have been given two function f(x)=x^2+7 and g(x)=\frac{x-3}{x}. We are asked to find f{\circ }g(-8).

By the definition of composite functions f{\circ}g(x)=f(x)\cdot g(x).

f{\circ }g(-8)=f(-8)\cdot g(-8)

f(-8)=(-8)^2+7

f(-8)=64+7

f(-8)=71

g(-8)=\frac{-8-3}{-8}

g(-8)=\frac{-11}{-8}

g(-8)=\frac{11}{8}

f{\circ }g(-8)=71\cdot \frac{11}{8}

f{\circ }g(-8)=\frac{781}{8}

Therefore, f{\circ}g(x)=\frac{781}{8}.

sashaice [31]4 years ago
3 0
X=-56 that is the answer
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What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2
Minchanka [31]

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

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8 0
3 years ago
Solve 6 sin((π/5)x)=5 for the four smallest positive solutions
cupoosta [38]

Answer:

1.568, 3.432, 11.568, 13.432

Step-by-step explanation:

Divide equation 6\sin\left(\dfrac{\pi }{5}x\right)=5 by 6:

\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.

Then

\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,

x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.

Since \arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},

four smallest positive solutions are

1. \dfrac{5}{3.2}\approx 1.568,\ k=0;

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3. \dfrac{5}{3.2}+10\approx 11.568,\ k=2;

4. \dfrac{-5}{3.2}+15\approx 13.432,\ k=3.

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Step-by-step explanation:

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3 years ago
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The radius of the cone is 2 inches.

From the question, we are given the following parameters:

<em>The height of the cone = 12 inches</em>

<em>The volume of the cone =  16 π in³</em>

The formula to find the<u> radius of the cone </u>is given as:

√3V/πh

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brainly.com/question/25107622

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