If f(x)=5x-25 and g(x) = 1/5x+5 which expression could be used to verify g(×) is the inverse of f(×)

The  expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5

Step-by-step explanation:

Hence, g(x) is inverse of f(x)

Step-by-step explanation:

The provided function are f(x)=5x-25 and  

To check g(x) is the inverse of f(x)

Plug the formula for g(x) into every instance of "x" in the formula for f (x):

(fog)(x) = f(g(x))

           = x+25-25

            = x

Now, plug  the formula for f (x) into every instance of "x" in the formula for g(x) :

(gof)(x) = g(f(x))

           =

           =

           = x - 5 + 5

            = x

Both ways we get "x"

So, both functions are inverse of each other.

Hence, g(x) is inverse of f(x) .

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.