Question

Find f(6) in the equation (gof)(6).

Answer 1

whats the equation?

Answer 2

just (gof)(6)

Answer 3

@Gerardo_cast23

Answer 4

there has to be an equation that goes with it.. they have to tell us what is g(x) and f(x) for us to find the answer

Answer 5

oh hold on!

Answer 6

f(x)= 1/x-5 and g(x)=x^2+2

Answer 7

@Gerardo_cast23 does that help?

Answer 8

Haha yes it does!

Answer 9

woohoo! :)

Answer 10

g(f(6)) so what we do is well first what is f(6)? you tell me.

Answer 11

umm f(6) so you replace an x with 6? i dont really know how to work these :(

Answer 12

lol. Well what you do is find f(6) so for f(x) plug in 6 everytime you see an x

Answer 13

okay so 1/6-5 and g(6)=6^2+2?

Answer 14

hold youre horses lol. So you found thaht f(6) is 1/6-5... So this equals 1. Now you have g(1)

Answer 15

okay so now how do i find g(f(6))?

Answer 16

Its a two step problem.. So we found f(6)=1.. so...
g(f(6))=
g(1)... So now for every x ing plug in 1 and thats your final answer

Answer 17

its basically
(1/6-5)^2+2

Answer 18

g(1)=1^2+2

Answer 19

or (1/1)^2 + 2
=3

Answer 20

(gof) = plug in f into g

Answer 21

what numbers do i plug into g? like what is f?

Answer 22

f(x)= 1/x-5 and g(x)=x^2+2
g(x)= (1/x-5)^2 + 2

Answer 23

but since f is f(6) you plug 6 into f first.
1/6-5
= 1

Answer 24

then you plug f into the equation for g.

Answer 25

okay so g(1(6))?

Answer 26

the equation for g is g(x)=x^2 +2
you plug f into the x of this equation

Answer 27

so g(1)=1^2+2? sorry im so dumb lol :(

Answer 28

not g(1) ...
its fine
plug the value of f(x) into the equation of g.

Answer 29

but yes g = 3

Answer 30

im so sorry lol im trying really hard to understand so since f(x) is 6 would i fill in the x's with 6?

Answer 31

oh.. lol

Answer 32

your question is if f(6) find g(x). right? then they give the equations for f(x) and g(x)

Answer 33

so you solve for f first, then you plug in the result of f into g.

Answer 34

well the exact questions are Substitute the value you found in part 1 into g(x) to find g(f(6))

Answer 35

yes thats correct.

Answer 36

okay so let me see...

Answer 37

f(6) just means replace the values of x with that number for example
f(x)=x+1
= 7.

Answer 38

oh okay! so can you explain to me how to break down and find the answer for g(f(6))? i just cant figure it out

Answer 39

with the same equation?

Answer 40

im guessing so, all i know is that "Substitute the value you found in part 1 into g(x) to find g(f(6))" is Part 2 to the first question asked on this page

Answer 41

Okay, so g(f(6)) just means you substitue the value from the equation of f(x) when x for the equation of f(x) is 6.

Answer 42

Then you substitute the sum of that into the equation for g.

Answer 43

lets say f(x)=x+1
and g(x) = x^2 +3
f(6)
(7)^2 + 3
= 52.
get it?

Answer 44

for this equation you plug 6 into the equation for f(x)
which is
f(x) = 1/x-5

Answer 45

well i see how you got 52 but for my problem how would i plug in f into g?

Answer 46

i know f(6) = 1

Answer 47

you solve f(x)= 1/x-5, since x for this equation is 6 you plug it in
f(x) = 1/6-5
f(x) = 1
then you plug in the answer into the equation for g

Answer 48

the equation for g(x)= x^2 +1
so you plug 1 into the x value resulting in
1^2 +1
= 3

Answer 49

oh i see! would 3 be the answer?

Answer 50

yes

Answer 51

Looks like I was replaced lol. Oh well.I hope youre understanding everything and learning

Answer 52

@Gerardo_cast23 of course not :p i just need all the help i can get :)

Answer 53

so just to make sure g(f(6)) = 3? @shamil98

Answer 54

yes

Answer 55

wow thanks!!

Answer 56

yeah , no prob.

Answer 57

with the same equations, would the expression for g(x) be 1?

Answer 58

? you mean g(1) ?

Answer 59

well the Part 1 question is "Find the expression for g(x)."

Answer 60

and above that is says g(x)=x^2+2, so would x^2+2 be the answer for what is the expression of g(x)?

Answer 61

Is this from a word problem?

Answer 62

sort of i guess. this is exactly what it says:

4. For f(x)=1/x-5 and g(x) = x^2+2, find:
A. Find the expression for g(x).

Answer 63

http://i.imgur.com/BNVhugq.png

Answer 64

if its just the expression for g(x) then yes g(x) = x^2 +2 is your answer lol.

Answer 65

thanks!

Answer 66

no probs.