Answer:
a. 6
b. 50
c. 62
d. |1 - 7g(x) |
Step-by-step explanation:
a. h(1) = |1 - 7(1)| = | - 6 | = 6
b. h(-7) = |1 - 7(-7)| = |1 + 49| = | 50 | = 50
c. h(9) = |1 - 7(9)| = |1 - 63| = | -62 | = 62
d. The composition of function h with function g is written as h ∘ g and is defined as (h ∘ g )( x ) = h( g( x )).
Therefore, given h( x ) = | 1 - 7x |:
h ∘ g if g(x ) = h(g( x )) = | 1 - 7g(x ) |
By the way, when you deal with composition of functions, you can do the following steps:
1. Evaluate g(x) first.
2. Then use g(x) as the input for h.
