Posted by **Anonymous** on Sunday, January 20, 2013 at 11:27pm.

Under what circumstances is fog = gof always true? When is this statement true for f(x) = x2 + x – 2 and g(x) = x + 4? (4 marks)

- Math -
**Anonymous**, Sunday, January 20, 2013 at 11:27pm
X^2***

- Math -
**Reiny**, Monday, January 21, 2013 at 9:08am
It is true when f(x) and g(x) are inverses of each other, that is,

f(g(x)) = g(f(x)) = x

for f(x) = x^2 + x – 2 and g(x) = x + 4, since x+4 is clearly not the inverse of f(x) fog ≠ gof

## Answer this Question

## Related Questions

- Physics - Pease evaluate the statements by choosing from these three statements ...
- Statistics - Answer “True” if the statement is always true. If the statement is ...
- math - Which of the following conclusions is true about the statement below? x^2...
- Mth 209 - Which of the following conclusions is true about the statement below? ...
- calculus - when working with composite functions, does fog=gof? how do i create ...
- Math - a.)If ABCD is a parallelogram, then ABCD is (always true, sometimes true...
- math - Determine whether the statement is always true, sometimes true, or never ...
- logical statements-urgent - I have to come up with a logical statement when ...
- algebra - x^2(insert radical sign) x is this statement always true is this true ...
- Math - Determine whether the statement is true, false, or sometimes true. ...

More Related Questions