Question

Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)).

-9x - 2

-9x + 5

-9x + 25

-9x + 27

Answer 1

Plug g(x) in for x

Answer 2

f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)).
f(g(x)) = 9(-x + 3) - 2

Answer 3

how did you get that?

Answer 4

f(g(x)) = 9(-x + 3) - 2
= -9x + 27 - 2

how we got it was the question itself
it was saying if z = 9y - 2 ... and y = 3 - x .... what does z equal in terms of x...?

Answer 5

ohh okay now I understand thank you can you help me with another one but this time ill try and do it and you see if im write or wrong :)

Answer 6

Compositions of functions simply take one function (in it's entirety) and substitute it in as the variable in the initial function. F(x)=9x-2... x is the variable. g(x)= -x+3 is the function that will sub for the variable. So F(g(x))= 9(-x+3)-2

Answer 7

Let f(x) = -4x + 7 and g(x) = 10x - 6, find f(g(x)).
-40x + 24

-40x + 31

-40x + 64

-40x + 70

Answer 8

you would write it like -4x(10x-6) +7 right?

Answer 9

yep

Answer 10

f(g(x))=-4(g(x))+7

Answer 11

no
remove the x

Answer 12

-4(10x-6) +7

Answer 13

How would you remove the x

Answer 14

what happened to the x, how did you cancel it out

Answer 15

x of first equation is )10x-6)

Answer 16

oh okay so it would be -4(10x - 6) +7
-40x + 24 + 7
-40x + 31

Answer 17

think of it this way:
if z = -4y + 7 ... and y = 10x - 6 .... what does z equal in terms of x

Answer 18

but yeah, perfect ^^^

Answer 19

yeah! are you willing to help with another one

Answer 20

ok one mores

Answer 21

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

-7

-3

10

33

Answer 22

go fur it dude...

Answer 23

I'm a little stuck what does it mean by f(g(2))?

Answer 24

* sorry if z = y + 8 ... and y = x^2 - 6x - 7 .... what does z equal in terms of x, when x = 2

so first do z in terms of x

Answer 25

f(x)= x+8
f(x)= 2 + 8
f(x) = 10

g(x) = x2 - 6x - 7
g(x) = 4-12-7
g(x) = -15

Answer 26

sorry dude...

f(x) = y + 8
and
g(x) = y
so y = x^2 - 6x - 7 so when x = 2...
y =4-12-7
y = -15
so u got the 2nd half right...

Answer 27

now sub y = -15 into
f(x) = y + 8

Answer 28

-15 + 8
-7

Answer 29

yep, perfect

it was my bad bru, i mis-typed in the earlier post

Answer 30

its okay thanks for all your help!!!

Answer 31

ALL GOOD DUDE, SLATERS