Answer:
We conclude that:
[tex]h\left(1\right)=6[/tex]
Step-by-step explanation:
Given
The function is
[tex]h\left(x\right)\:=\:|1\:-\:7x|[/tex]
To determine
h(1) = ?
Given the function
[tex]h\left(x\right)\:=\:|1\:-\:7x|[/tex]
substitute x = 1 in the function
[tex]h\left(1\right)=\left|1-7\left(1\right)\right|[/tex]
[tex]h(1)=\left|1-7\right|[/tex]
[tex]h(1)=\left|-6\right|[/tex]
Apply absolute rule: |-a| = a
[tex]h\left(1\right)=6[/tex]
Therefore, we conclude that:
[tex]h\left(1\right)=6[/tex]