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maxonik [38]
3 years ago
6

F(x)=2x+3, and g(x)=4x-2. what is f(x)+g(x)

Mathematics
1 answer:
klio [65]3 years ago
8 0

Answer:

f

(

x

)

=

5

x

2

−

2

x

+

3

g

(

x

)

=

4

x

2

+

7

x

−

5

f

(

g

(

x

)

)

=

5

(

4

x

2

+

7

x

−

5

)

2

−

2

(

4

x

2

+

7

x

−

5

)

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

350

x

+

125

−

8

x

2

−

14

x

+

10

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

8

x

2

−

350

x

−

14

x

+

125

+

10

+

3

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

The answer is  

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

.

Step-by-step explanation:

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Nostrana [21]
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8 0
3 years ago
What is the inverse of the given relation y = 7x² ?
beks73 [17]

Answer:

y = square root(x/7)

Step-by-step explanation:

switch x and y

x = 7y^2

solve for y

x/7 = y^2

square root(x/7) =y

y inverse is

y= square root(x/7)

7 0
3 years ago
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Paladinen [302]

Answer:

Rate of change = 18/√74

Step-by-step explanation:

The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v

Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;

∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)

So;

∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))

This gives;

∇g(1, 1, 2) = (3, 7, 4)

Now,

||∇g(1, 1, 2)|| = √(3² + 7² + 4²)

||∇g(1, 1, 2)|| = √74

Normal vector would be given by the formula;

v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]

Thus;

v = (3, 7, 4)/√74

Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)

Thus, rate of change is given by;

∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74

This gives;

Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74

7 0
3 years ago
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Answer: number 2 is 2795 and I can not see the other sorry please tap the heart and 5 stars again sorry

Step-by-step explanation:

5 0
3 years ago
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