Respuesta :

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]