Question

6x-15/

2
It 8 is an element in the domain of f(x)=-
what is the corresponding element in the range?
The corresponding element is (Simplify your answer.)

Answer 1

Answer: The expression 6x-15/2 can be simplified to **3x-15/1** or **3x-15**. When x=8, f(8)=-9.

To find the corresponding element in the range, we need to evaluate the function f(x) at x=8. Since f(x)=-6x+15/2, we have:

f(8) = -6(8) + 15/2 = -48 + 7.5 = -40.5

Therefore, the corresponding element in the range is **-40.5.**

Answer 2

To find the corresponding element in the range of the function f(x) = (6x - 15)/2, when the element 8 is in the domain, we need to substitute 8 into the function and simplify.

1. Substitute 8 into the function:

f(8) = (6(8) - 15)/2

2. Simplify the expression inside the parentheses:

f(8) = (48 - 15)/2

= 33/2

3. Simplify the division:

f(8) = 33/2

= 16.5

Therefore, the corresponding element in the range of the function f(x) = (6x - 15)/2, when the element 8 is in the domain, is 16.5.