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if f(x)=3x^2-5 and g(x)=-2x+5, then f(3)g(3)=

Sagot :

Answer:

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

x

+

5

+

2

x

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

x

+

2

x

)

+

(

5

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

x

+

5

+

2

x

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

x

+

2

x

)

+

(

5

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

x

+

5

+

2

x

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

x

+

2

x

)

+

(

5

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Step-by-step explanation: