Question

Algebra Help

Answer 1

@johnweldon1993

Answer 2

hint:
f(g(x)) means substitute g(x) in the expression for f(x), and
g(f(x)) means substitute f(x) in the expression for g(x).
example:
f(x)=x^2+5
g(x)=x+3
f(g(x))=\((x+3)^2+5=x^2+6x+14\)
g(f(x))=\((x^2+5)+3=x^2+8\)
As you can see, in general, f(g(x)) \(\ne\) g(f(x))

Answer 3

okay so how would i get the answer?

Answer 4

More hints:
f(x)=\(\color{red}{x^2}+5\)
\(\color{blue}{g(x)}=\color{blue}{x+3}\)
f(\(\color{blue}{g(x)}\))=\(\color{red}{(\color{blue}{x+3})^2}+5=x^2+6x+14\)
g(f(x))=\((x^2+5)+3=x^2+8\)