Given: f(x) = x - 7 and h(x) = 2x + 3 write the rule for h(f(

h[f(x)] = 2x - 11.

Step-by-step explanation:

The given functions are f(x) = x - 7 and h(x) = 2x + 3

We have to find the value of h[f(x)]

Now as per rule we will replace x of h(x) by f(x) to get the function h[f(x)].

Then function h(x) becomes as h[f(x)] and the value of the function will be

h[f(x)] = 2(x - 7) + 3

         = 2x - 14 + 3

         = 2x - 11

Therefore h[f(x)] = 2x - 11 is the answer.