If h(x) = x - 1 and j(x) = -4x, solve h[j(5)] and select the correct answer below.
-21, -20, -19, -16
Solution:
Given h(x) = x - 1 and j(x) = -4x
Composite function takes two functions f and g and produces a function h such that h(x) = g(f(x)).
j[5] = j(x) when x = 5 = -4(5) = -20
For h[j[x]] we denote as (h○j)(x)
(h○j)(x) = j[x] - 1
(h○j)(5) = {-4(5)} - 1
(h○j)(5) = -20 - 1
(h○j(5) = -21
We get h[j[5]] value as -21
If h(x) = x - 1 and j(x) = -4x, solve h[j(5)] and select the correct answer below.
Summary:
If h(x) = x - 1 and j(x) = -4x, then the value of h[j(5)] is -21.
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