Question

Let f(x) = x^2 +1 and g(x)= x-2 Evaluate (f x g) (0). I need help i know the answer is 5 i just don't know how to get that answer !

Answer 1

Answer:

(f*g)(0)=-2

f(g(0))=5  I think you meant this one based on your answer. Please read lower half of explanation for this answer.  Please ask me any question on this that you have.

Step-by-step explanation:

(f*g)(0) means f(0)*g(0).

f(0) means to replace x with 0 in x^2+1 (since g(x)=x^2+1).

g(0) means to replace x with 0 in x-1 (since g(x)=x-2).

f(0)=0^2+1=0+1=1

g(0)=0-2=-2

So (f*g)(0)=f(0)g(0)=(1)(-2)=-2.

But I guess you didn't mean this because you said the answer is 5...

Oh maybe you mean

$(f \circ g)(0)$?

$(f \circ g)(0)$ means $f(g(0))$.

So f(g(0))...we start with the inside first... that is g(0)?

g(0)=-2 (we found this above)

f(g(0))

f(-2)           ->I replaced g(0) with -2

Now f(-2) means to replace x with (-2) in x^2+1 (since f(x)=x^2+1)

So let's do that:

(-2)^2+1

4+1

5