Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2

Question

asked May 7, 2022 173k views

1 Answer

Zohreh · Answer 1 · 2022-05-11T13:33:17+0000

Answer:

$F(x) = f \circ g$

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

Explanation:

Given

F(x) = x + 2

Required

Express as

$F(x) = f \circ g(x)$

In functions:

$f \circ\ g(x) = f(g(x))$

So, we have:

f(g(x)) = x + 2

g(x) can be set to x and f(x) to x + 2

Hence:

$F(x) = f \circ g$

When:
f(x) = x + 2 and
g(x) = x