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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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HELP ASAP ITS SO HARD! Kelsey did the following division problem. Her teacher says that the quotient she found is wrong. −2 5/6
SpyIntel [72]

Part A

Her steps were

-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.

The third step should look like -\frac{17}{6}\times \frac{3}{4}

=======================================================

Part B

Here's what she should have written

-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{17}{6} \times \frac{3}{4}\\\\-\frac{17\times 3}{6\times 4}\\\\-\frac{51}{24}\\\\-\frac{17}{8}\\\\

If you want to convert that improper fraction to a mixed number, then you could do something like this

-\frac{17}{8} = -\frac{16+1}{8}\\\\-\frac{17}{8} = -\frac{16}{8}-\frac{1}{8}\\\\-\frac{17}{8} = -2 \frac{1}{8}\\\\

Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.

4 0
3 years ago
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Vanyuwa [196]

Answer:Area of shaded region is 454.97

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

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π is a constant whose value is 3.14

From the information given,

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