If h(x) = 3x - 1 and j(x) = -2x, solve h[j(2)] and select the correct answer below.
-11, 11, -13, 13

Solution:

Given: Functions are h(x) = 3x - 1 and j(x) = -2x

We have to find h[j(2)]

h[j(x)] is a composite function, where it takes the output of j(x) as its inputs. If we are given two functions, we can create another function by composing one function into the other. A composite function is generally a function that is written inside another function.

h[j(x)] = h[-2x]

Substituting in the equation, we get

h[j(x)] = 3(-2x) -1

h[j(x)] = -6x - 1

Solving for h[j(2)]

h[j(2)] = -6(2) - 1

= -13

Therefore, the value of h[j(2)] is -13.

If h(x) = 3x - 1 and j(x) = -2x, solve h[j(2)] and select the correct answer below.

Summary:

If h(x) = 3x - 1 and j(x) = -2x, then the value of h[j(2)] is -13.