Question

If f(x) = 4x + 1 and g(x) = 3x + 2, what is f(g(x)) ?

Answer 1

you put g in f's place like so

Answer 2

f(g(x)) = 4(3x+2) +1

Answer 3

12x+8 +1

Answer 4

12x+ 9

Answer 5

solve for zero:
12x = -9
x= -3/4

Answer 6

i get it thanks so much!

Answer 7

No problem :)

Answer 8

i dont quite understand why you solve for the zero if it only asked for f(g(x))

Answer 9

it seems sufficient to just say
f(g(x)) = 12x + 9

Answer 10

yepp, thats the answer. 12x+9

Answer 11

I was just being overly cautious ;)

Answer 12

do you guys know how to do this one?
Let f(x) = 3x+1 and g(x) = x2

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

Answer 13

x2 as in, x squared? it'd be the same process as the previous one
i use x^2 to indicate the exponent so theres no confusion
f(g(x)) = f(x^2) = 3(x^2) + 1
g(f(x)) = g(3x + 1) = (3x + 1)^2

im not very good with the worded explanation for this. i guess you'd write that the process is the same, the values you are applying it to varied

Answer 14

ah alright thank you!