Question

Let f(x) = 3x+1 and g(x) = x^2

Part 1 Find f(g(x))
Part 2 Find g(f(x))
Part 3 Use complete sentences to explain any difference in part 1 and part 2.

Answer 1

Think of x^2 as a number and you're multiplying that by 3 and adding 1.

Answer 2

\(\Large \color{MidnightBlue}{\Rightarrow 3(x^2) + 1 }\)
\(\Large \color{MidnightBlue}{\Rightarrow 3x^2 + 1 }\)

Can you do the others with the same concept?

Answer 3

In the second one you're just squaring a number so just square 3x + 1

Answer 4

so 9x^2+6x+1?

Answer 5

Yes exactly

Answer 6

Sweet! thanx!

Answer 7

Lol yw