Question

f(x)=3x+1
g(x)=x^2-5x-2
Find g(f(x))

Answer 1

so first I plug in f(x) to replace all the x's in g(x) right?

Answer 2

so I'd get
g(f(x))=(3x+1)^2-5(5x+1)-2

Answer 3

@Jhannybean @jim_thompson5910

Answer 4

9x^2-19x-6
final answer

Answer 5

Maybe it's easier to understand it if you re-label things.
let f(x) = u

Now find g(u). This meas plugging in u in g: g(u) = u^2-5u-2

But now, what is u? It's just f(x).. so replace all "u" with f(x) = 3x+1

g(u)=g(f(x))=(3x+1)^2-5(3x+1)-2

Answer 6

oh whoops my bad 9x^2-9x-6

Answer 7

^yes that's correct