Are these two functions inverses

Answer:
Yes
Step-by-step explanation:
Lets use y=mx + b format instead of functions.
[tex]y=\frac{x+5}{7}[/tex]
To find the inverse of this function, swap x and y
[tex]x=\frac{y+5}{7}\\ y+5=7x\\y=7x-5[/tex]
To check your work, verify if 7x-5 and x+5 are inverses"
[tex]x = 7y-5\\x+5=7y\\y=\frac{x+5}{7}[/tex]