Question

F (x)=x^2 -3. g (x) = x- 4

Answer 1

A. (F∘G)(X) = 4x + 4 ;

B. (G∘F)(X) = 4x +10 ;

C. (F∘G)(−1) = 0;

D. (G∘F)(−1) = 6.

Let's break down each part:

A. (F∘G)(X):

This is the composition of functions F and G. To find it, substitute G(X) into F(X):

(F∘G)(X)=F(G(X))=F(4X+2)=(4X+2)+2=4X+4

B. (G∘F)(X):

Similarly, substitute F(X) into G(X):

(G∘F)(X)=G(F(X))=G(X+2)=4(X+2)+2=4X+10

C. (F∘G)(−1):

Replace X with -1 in the expression we found for (F∘G)(X):

(F∘G)(−1)=4(−1)+4= 0

D. (G∘F)(−1):

Replace X with -1 in the expression we found for (G∘F)(X):

(G∘F)(−1)=4(−1)+10= 6

Question

For F(X)=X+2 And G(X)=4x+2, Find The Following Functions. A. (F∘G)(X);B.(G∘F)(X);C.(F∘G)(−1);D.(G∘F)(−1)