Question

task perform the indicated operation 1) (x) = 2x + 4 (x) = x + 3 Find ( − )(1) 2) () = 2 − 1 () = − − 4 Find ( − )(�

Answer 1

`1) \( (f - g)(1) = 6 \)`

`2) \( (h - k)(2) = -18 \)`

Step-by-step explanation:

In the given mathematical expressions:

1)
`\( f(x) = 2x + 4 \)` and
`\( g(x) = x + 3 \)`, we are asked to find (f - g) (1). The operation (f - g) (1) means we substitute x = 1 into both f and g , and then subtract the results.

(f - g) (1) = f(1) - g(1)

= (2(1) + 4) - (1 + 3)

= (2 + 4) - (1 + 3)

= 6 - 4

= 2

So, (f - g)(1) = 2.

2) h(t) = 2t - 1 and k(t) = t - 4 , we are asked to find (h - k)(2). Following a similar process as above:

(h - k)(2) = h(2) - k(2)

= (2(2) - 1) - (2 - 4)

= (4 - 1) - (2 - 4)

= 3 - (-2)

= 3 + 2

= 5

So, (h - k) (2) = 5

In summary, the final answers are (f - g) (1) = 2 and (h - k) (2) = 5. These values represent the result of the given operations when evaluated at the specified values of x or t .