Question

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

Answer 1

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

Answer 2

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