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3 years ago

Identify the conic section represented by the equation. Provide the center

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

(Y-2)^2-(x-3)^2=1 I hope this helps

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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))

julsineya [31]

Answer:

$f(g(-1))=4$

$g(f(3))=50$

Step-by-step explanation:

We know the definition of both functions: $f(x)=3x-2$ , and $g(x)=x^2+1$

A) In order to evaluate what $f(g(-1)) is$ , let's first investigate what g(-1) is using the definition for this function:

$g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2$

Now let's find what f(2) is using f(x) definition: $f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4$

B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

$f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7$

Now let's find what g(7) is using the definition for this function:

$g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50$

4 0

3 years ago

If a•b=b, what must the value of a be?

Mila [183]

Answer: I think f

Step-by-step explanation:

8 0

3 years ago

This is the question

Finger [1]

Answer:

Step-by-step explanation:

over the interval [-1,1], f(x) is greater than 0

7 0

3 years ago

Read 2 more answers

HELP NOW PLZ!!! IM IN A QUIZ!!! IM GIVING BRAINLIEST AND 15 POINTS!!!!

Serggg [28]

Answer:

Step-by-step explanation:

5 0

3 years ago

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The perimeter of a rectangle is 61 feet. The length is 5 more than twice the width. What is the length and width?

DochEvi [55]

Answer:

Length = 22 feet Width= 8.5 feet

Step-by-step explanation:

Perimeter= 61

Let Width= x

Length= 2x+5

Perimeter= 2l + 2w

61= 2(2x+5) + 2x

61 = 2(2x+5+x)

61/2 = 3x+5

30.5 -5 = 3x

25.5 = 3x

25.5/3 =x

x= 8.5

Hence, width = 8.5 feet

Then, the length = 2x+5 = 2(8.5) +5 = 22 feet

Hope this helps!

6 0

3 years ago