Question

For f(x) = 5 – 3x and g(x) = x^2 – 1, find f(g(x)) and g(f(x)).

Answer 1

f(g(x)) Just means that put in g(x) for x in the function f(x).

5-3(x^2-1)
5-3x^2-3
3x^2+2

Answer 2

thanks for the help! :)

Answer 3

No problem. Do you understand how to do the next one?

Answer 4

$$
f(x) = \color{green}{5 – 3x}\\
g(x) = \color{blue}{x^2 – 1}\\
f(g(x))=5 – 3(\color{blue}{x^2 – 1})\\
g(f(x))=(\color{green}{5 – 3x})^2 – 1
$$

Answer 5

Yes!