Question

F(x)=5x+1 g(x)=x-2 fg(x)=?

Answer 1

F(x) = 5x + 1
g(x) = x - 2
f(g(x)) = 5*(x - 2) + 1 = 5x - 10 + 1 = 5x - 9

Answer 2

To find the composite function fg(x), you need to substitute the expression for g(x) into f(x). In other words, replace every occurrence of 'x' in f(x) with the expression for g(x).

Given: F(x) = 5x + 1 g(x) = x - 2

To find fg(x), we substitute g(x) into F(x):

F(g(x)) = 5(g(x)) + 1

Replace g(x) with its expression:

F(g(x)) = 5(x - 2) + 1

Now, distribute the 5:

F(g(x)) = 5x - 10 + 1

Combine like terms:

F(g(x)) = 5x - 9

So, the composite function fg(x) is:

fg(x) = 5x - 9