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LiRa [457]
3 years ago
11

Find (f o g)(x) Consider f(x) = x + 7 and g(x) = x2 –1

Mathematics
1 answer:
natima [27]3 years ago
3 0
<h3>Answer:  x^2 + 6</h3>

Work Shown:

(f o g)(x) = f(g(x))

f(x) = x + 7

f( g(x) ) = g(x) + 7 ... replace every x with g(x)

f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1

f( g(x) ) = x^2 + 6

(f o g)(x) = x^2 + 6

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2/3 of the sum of three times a number and six is 10. what is the number?
mestny [16]

9514 1404 393

Answer:

  3

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

  2x +4 = 10 . . . . . . use the distributive property

  x +2 = 5 . . . . . . . . divide by 2

  x = 3 . . . . . . . . . . .subtract 3

The number is 3.

__

<em>Comment on the solution</em>

The above shows an "alternative" solution method. The more usual way this might be done is ...

  2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

  6x +12 = 30 . . . . . . . eliminate parentheses

  6x = 18 . . . . . . . . . . . subtract 12

  x = 3 . . . . . . . . . . . . divide by 6

3 0
3 years ago
Read 2 more answers
Help what is the answer to 7.26 divide by 5 and I also need the steps include Plz!!
maksim [4K]

Answer:

the answer is 1.452.

Step-by-step explanation:

7.26 ÷ 5 = 726 ÷ 500 = 1.452

hope this helps!

5 0
4 years ago
When 31 times a number is increased by 40, the answer is the same as when 200 is decreased by the number. Find the number.
natulia [17]

Answer:

The Answer is: 5.

Step-by-step explanation:

Let n = number.

The number times 31 plus 40 is equal to 200 minus the number:

31n + 40 = 200 - n

32n = 200 - 40

32n = 160

n = 5

Proof:

31(5) + 40 = 200 - 5

155 + 40 = 195

195 = 195

Hope this helps! Have an Awesome Day!! :-)

5 0
3 years ago
AngleFAE measures 72º. What other angle must measure
swat32

Answer: FBE

Step-by-step explanation:

EDGE

8 0
3 years ago
Use pictures or word to explain how you can find the sum for 3+5+2
fomenos
3 plus 5 plus 2 is 10 because if you add 3 plus 5, it equals to 8 and 8+2 equals to 10.
6 0
3 years ago
Read 2 more answers
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