Question

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Answer 1

Answer:

7x + 5

12x^2 + 20x

2

Step-by-step explanation:

1. (g + h)(x)

We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:

g(x) + h(x)

3x + 5 + 4x

7x + 5

2. (g * h)(x)

We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:

g(x) * h(x)

(3x + 5) * (4x)

We can distribute 4x to both terms:

3x * 4x + 5 * 4x

12x^2 + 20x

3. (g - h)(3)

We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):

g(3) = 3(3) + 5

g(3) = 9 + 5

g(3) = 14

h(3) = 4(3)

h(3) = 12

Now, we can plug in these two values:

g(3) - h(3)

14 - 12

2