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Asked Feb 12, 2020
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30. Evaluate

29) f(x) = 4x2 – 2 añd g(×)=& - 3.
A. Find (f - g)(x).
B. Find (f - g)(-2)
pue
30) f(x) = x + 2 and g(x)=x+ 4.
A. Find (f + g)(x).
B. Find (f + g)(-3)
31) f(x) = x – 6 and g(x) = -3x2 +
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29) f(x) = 4x2 – 2 añd g(×)=& - 3. A. Find (f - g)(x). B. Find (f - g)(-2) pue 30) f(x) = x + 2 and g(x)=x+ 4. A. Find (f + g)(x). B. Find (f + g)(-3) 31) f(x) = x – 6 and g(x) = -3x2 +

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Expert Answer

Step 1

Part A:

 

By the definition for operations on function:

 

Algebra homework question answer, step 1, image 1

Step 2

Put the value of f(x) = x + 2 and g(x) = x + 4 in the above equation:

 

Algebra homework question answer, step 2, image 1

Step 3

Hence, the value of the expression (f + g) (x) is 2x + 6.

 

Part B

 

Find the value of the expression (f + g) (x) at x = -3.

Algebra homework question answer, step 3, image 1

 

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