f(g(x)) = 2x + 10 and g(f(x)) = 2x + 1
Explanation:
Given,
f(x) = 2x - 8 and g(x) = x + 9
To find, the values of f(g(x)) and g(f(x)) = ?
f(x) = 2x - 8
∴ f(g(x)) = 2(g(x)) - 8
= 2(x + 9) - 8
= 2x + 18 - 8
= 2x + 10
Also,
g(x) = x + 9
g(f(x)) = f(x) + 9
= 2x - 8 + 9
= 2x + 1
∴ f(g(x)) = 2x + 10 and g(f(x)) = 2x + 1