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Alex787 [66]
3 years ago
11

Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4) A. -9 B. -61 C. -32 D. -17

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Answer:

B

Step-by-step explanation:

To evaluate (f ○ g)(- 4), first evaluate g(- 4) then substitute this value into f(x)

g(- 4)  = 3(- 4) - 5 = - 12 - 5 = - 17, then

f(- 17) = 4(- 17) + 7 = - 68 + 7 = - 61 → B

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Solve the equation.
Levart [38]

Answer:

x=34

Step-by-step explanation:

6 - ( x-7) ^ 1/3 = 3

Subtract 6 from each side

6-6 - ( x-7) ^ 1/3 = 3-6

- ( x-7) ^ 1/3 = -3

Divide each side by a negative

 ( x-7) ^ 1/3 = 3

Cube each side

 ( x-7) ^ 1/3 ^3 = (3)^3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Check

6 - ( 34-7) ^ 1/3 = 3

6 - (27^1/3 = 3

6 -3 =3

3=3

Good solution

8 0
3 years ago
If integral 1 to 5 f(x)dx =36/15 what is the value of integral from 5 to 1 f(x)dx?<br><br><br>​
fredd [130]

Answer:

  -36/15

Step-by-step explanation:

If the indefinite integral of f(x)dx is F(x), then your integral from 1 to 5 is ...

  F(5) -F(1) = 36/15

The integral in the reverse direction is ...

  F(1) -F(5) = -(F(5) -F(1)) = -36/15

6 0
3 years ago
Jo's mother, Anne, is four times as old as Jo. In four years time, Anne will be three times as old as Jo. How old is Jo? (this i
pentagon [3]

Answer:

Jo's age = x = 8 years

Step-by-step explanation:

Let

Jo's age = x

Jo's mother, Anne's age = 4x

In four years time, Anne will be three times as old as Jo.

Jo's age =3( x + 4)

Jo's mother, Anne's age = 4x + 4

How old is Jo?

Equate Jo's age and his mother's age

3(x + 4) = 4x + 4

3x + 12 = 4x + 4

3x - 4x = 4 - 12

-x = - 8

Divide both sides by -1

x = 8

Therefore,

Jo's age = x = 8 years

8 0
3 years ago
Read 2 more answers
Please answer look at pitot
klio [65]

Answer:

z = 7

Step-by-step explanation:

Based on the midsegment theorem of a triangle, the length of the midsegment of the triangle (z) = ½ of the length of the 3rd side of the triangle (14)

Thus:

z = ½(14)

z = 7

4 0
3 years ago
A sequence is a function whose domain is the set of __numbers.
MariettaO [177]
Answer - natural

A sequence is a function whose domain is the set of natural numbers.
5 0
3 years ago
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