If f(x) = 2x -5 and g(x) = lnx + 8x find fog(1)

Given the functions:

f(x) =
2x-5

g(x) = lnx + 8x

We need
to find fog(1)

First we will determine the function
fog(x)

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

                 = f( lnx +
8x)

                  = 2(lnx + 8x)
-5

                    = 2lnx + 16x -
5

==> fog(x) = 2lnx + 16x 
-5

Now we will substitute with x =
1

==> fog(1) = 2ln1 + 16*1
-5

                 = 2*0 + 16 -5 =
11

==> fog(1) =
11