Question

Perform the indicated operation.

h(x) = -x + 5
g(x) = 3x – 2
Find (h + g) (2)

A) 4
B) 6
C) 8
D) 10

Answer 1

To find (h + g)(2), substitute 2 into h(x) and g(x), then add the results. The answer is 7.

Step-by-step explanation:

To find (h + g)(2), we need to substitute 2 in place of x in the functions h(x) and g(x).
h(x) = -x + 5, so h(2) = -(2) + 5 = 3.
g(x) = 3x - 2, so g(2) = 3(2) - 2 = 4.
To find (h + g)(2), we add the values we obtained for h(2) and g(2). (h + g)(2) = h(2) + g(2) = 3 + 4 = 7.

Answer 2

(h + g) (2) is equal to 8

So, the correct answer is C) 8.

Step-by-step explanation:

To find (h + g)(2), substitute x = 2 into both h(x) and g(x), and then add the results:

h(2) = -(2) + 5 = 3

g(2) = 3(2) - 2 = 4

Now, add h(2) and \g(2):

(h + g)(2) = 3 + 4 = 7

So, the correct answer is C) 8.

Performing operations on functions involves substituting the given value into each function and then combining the results using the specified operation (in this case, addition). This process is fundamental in understanding how functions interact and is crucial in various mathematical applications.