Question

PLEASE HELP ME !

Let f(x) = 3x+2 and g(x) = x2
Part 1 [2 points] Find f(g(x))
Part 2 [2 points] Find g(f(x))
Part 3 [4 points] Use complete sentences to explain any difference in part 1 and part 2.

Answer 1

f(g(x): Plug in g(x) into f(x) [the value of g(x) is x in f]
g(f(x): Plug in f(x) into g(x) [the value of f(x) is x in g]

f(x) in words: f is a function of x (f is dependent on x)
g(x) in words; g is a function of x
f(g(x) in words: f is a function of g
g(f(x) in words: g is a function of f

Answer 2

how do I do that ?

Answer 3

sorry, I suck at these

Answer 4

f(x) = 3x+2 and g(x) = x2

fgx

I'd do the first question just for example:

f(x) = 3x + 2
Plug in g(x) as x:
f(gx) = 3(x2) + 2

Answer 5

can you pleaseee help me with all of these

Answer 6

@dauspex

Answer 7

Let f(x) = 3x+2 and g(x) = x2
Part 1 [2 points] Find f(g(x))
f(x) = 3x + 2
f(gx) = 3(x2) + 2 = 3x2 +2
Part 2 [2 points] Find g(f(x))
g(x) = x2
g(fx) = (3x+2)^2
Part 3 [4 points] Use complete sentences to explain any difference in part 1 and part 2.
f(g(x) in words: f is a function of g
g(f(x) in words: g is a function of f

Answer 8

thank you soo much !