Solve Composite Function: g(f(x)) = 225?

[Loppyfoot]

Homework Statement

If f(x) = x³+3x²+4x+5 and g(x)=5, then g(f(x)) = ?

Homework Equations

The Attempt at a Solution

I don't know if I am correct.
g(f(x)) =
g(x³+3x²+4x+5)= 225?

I plugged 5 into the equation. Am I right?

 

[mathie.girl]

Homework Statement

If f(x) = x³+3x²+4x+5 and g(x)=5, then g(f(x)) = ?

Homework Equations

The Attempt at a Solution

I don't know if I am correct.
g(f(x)) =
g(x³+3x²+4x+5)= 225?

I plugged 5 into the equation. Am I right?

If you plugged 5 into f(x), then you calculated f(5) = f(g(x)), since g(x) = 5. You want to find g(f(x)), which means plug f(x) into g(x).

If you're having trouble, maybe ask yourself, what's g(1), g(10), g(1000)? Once you see a pattern, then g(f(x)) shouldn't be much harder.

 

[Loppyfoot]

How do I plug a function into an integer? Would g(f(x)) just be 5?

 

[Office_Shredder]

g(x) isn't an integer. It's called a constant function. And yep, g(f(x))=5.