Question

Suppose f(x) = x^2-3x+2 and g(x) = 3x^2+5x+2.
(f+g)(x)=

Answer 1

answer:2x^2-1

Set up the composite result function.

f

(

g

(

x

)

)

Evaluate

f

(

g

(

x

)

)

by substituting in the value of

g

into

f

.

f

(

2

x

2

−

1

)

=

3

(

2

x

2

−

1

)

+

2

Simplify each term.

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f

(

2

x

2

−

1

)

=

6

x

2

−

3

+

2

Add

−

3

and

2

.

f

(

2

x

2

−

1

=

6

x

2

−

1

Answer 2

4x² + 2x + 4

Explanation:

We're basically just adding the two equations together

(x² - 3x + 2) + (3x² + 5x + 2)

x² - 3x + 2 + 3x² + 5x + 2

You can rearrange the like terms closer if you want

x² + 5x² + 5x - 3x + 2 + 2

4x² + 2x + 4

This can be the answer but we can also keep going

You can factor out the 2

2(2x² + x + 2)