F (x) = 2x-5 and g (x) = x+52 find f (g (x)

F (x) = 2x - 5

g (x) = x + 52

f (g (x)) = 2 (x + 52) - 5

f (g (x)) = 2 (x) + 2 (52) - 5

f (g (x)) = 2x + 104 - 5

f (g (x)) = 2x + 99

or

f (x) = 2x - 5

g (x) = x + 52

f (g (x)) = f (x + 52)

f (g (x)) = (x + 52) + 52

f (g (x)) = x + (52 + 52)

f (g (x)) = x + 104

If f (x) = 2x - 5 and g (x) = x + 52, then f (g (x)) can be deduced by placing g (x) in the spot of x in the f (x) equation as follows:

f (g (x)) = 2 (g (x)) - 5

Since we know g (x) = x + 52, let's plug it in:

f (g (x)) = 2 (x + 52) - 5

f (g (x)) = 2x + 104 - 5

f (g (x)) = 2x + 99