Question

3•h(2)-f(-9) function notation

F(x) = 8-3x

H(x) =-5/2x-1

Answer 1

The answer is -53

Explanation:

To evaluate the expression 3•h(2)-f(-9) using the given functions, we substitute the values into the respective functions.

First, evaluate h(2) using H(x) = -5/2x-1:

h(2) = -5/2(2) - 1 = -5 - 1 = -6

Next, evaluate f(-9) using F(x) = 8-3x:

f(-9) = 8 - 3(-9) = 8 + 27 = 35

Now, substitute these values into the expression:

3•h(2)-f(-9) = 3(-6) - 35 = -18 - 35 = -53

Therefore, the value of 3•h(2)-f(-9) is -53.

Answer 2

-53

Explanation:

Given that:

• g(x) = 8-3x
• h(x) = -5/2 x -1

Plugging in the values into the function notation, we get:

3 × h(2) - f(-9)

= 3 × (-5/2 × 2 - 1) - (8 - 3 × (-9))

= 3 × (-5 - 1) - (8 + 27)

= 3 × (-6) - 35

= -18 - 35

= -53

Therefore, the value of the function notation is -53.