Question

I NEED HELP WITH COMPOSITE FUNCTION PROBLEMS !!!! PLEASE HELP ME!!

Answer 1

first find \(f(0)\) then find \(g\) of the result

Answer 2

@Orion1213 & @TylerD would u help himout pls

Answer 3

how do i do that ??

Answer 4

how do you find \(f(0)\) ?

Answer 5

\[f(x)=-5x+1\\
f(\clubsuit)=-5\clubsuit +1\\
f(0)=-5\times 0+1\]

Answer 6

so 1 ?

Answer 7

right

Answer 8

your last job is to find \(g(1)\) and you are done

Answer 9

is it the same process ?

Answer 10

u make it sound so simple @satellite73 lol

Answer 11

@satellite73 please reply asap..

Answer 12

yes it is the same process

Answer 13

so wouldnt it just be 1 aswell ?

Answer 14

\[g(x)=x^3\\
g(\diamondsuit)=\diamondsuit^3\\
g(1)=?\]

Answer 15

yes

Answer 16

so the answer is 1 ?

Answer 17

what about this one..

Answer 18

what about it?

Answer 19

zactly the same but with different functions
first find \(f(1)\) then find \(g\) of the result

Answer 20

how would this work ? since theres a 1 instead of a 0

Answer 21

where you see an \(x\) in \(f(x)\) put a \(1\) there

Answer 22

so 4 ?

Answer 23

\[f(1)=4\] your final job is to find \(g(4)\)

Answer 24

25 ?

Answer 25

no \(4^2\neq 25\)

Answer 26

16?

Answer 27

yes

Answer 28

so 4 and 16 ? what next?

Answer 29

you are done, the answer is \(16\)

Answer 30

\[g(f(1))=g(4)=16\]

Answer 31

this one seems more difficult...

Answer 32

@satellite73

Answer 33

not at all
what is \(g(30)\) ?

Answer 34

i dont know .. can you explain alittle ?

Answer 35

@satellite73

Answer 36

@midhun.madhu1987

Answer 37

\[g(x)=\sqrt{x+5}\]\[g(\heartsuit)=\sqrt{\heartsuit-5}\]\[g(5)=?\]

Answer 38

5?

Answer 39

yes

Answer 40

so do i multiply by 6 ?

Answer 41

\[f(x)=2x-8\\
f(5)=?\]

Answer 42

hm...

Answer 43

i dont get it ..

Answer 44

where you see an \(x\) replace it by a \(5\)

Answer 45

so 2 ?

Answer 46

yes

Answer 47

it is unfortunate that you are being asked to evaluate a composite function before you really get how to evaluate a function at all
but the way to do it is to replace the variable by whatever is in the parentheses

Answer 48

so will it be the same thing with this one ?

Answer 49

pretty much identical
try it and see what you get
i can check if you like

Answer 50

18?

Answer 51

hmmm no
\(g(24)=?\)

Answer 52

first off i hope it is clear that
\[f\circ g(24)\] means
first compute \(g(24)\) then compute \(f\) of the result
so lets take it step by step
what is \(g(24)\) ?

Answer 53

\[g(x)=\sqrt{x+1}\]

Answer 54

g(1) ?

Answer 55

not \(g(1)\) they asked for \(g(24)\)

Answer 56

where you see an \(x\) replace it by \(24\)

Answer 57

-207 ?

Answer 58

\[g(x)=\sqrt{x+1}\\
g(24)=\sqrt{24+1}=\sqrt{25}=?\]

Answer 59

i got it now :D thanks !

Answer 60

whew
did you get \(g(24)=5\) and \(f(5)=-9\times 5+9=-36\)

Answer 61

yes :D

Answer 62

thanks for the help !

Answer 63

yw

Answer 64

\(\large f\circ g(24) = f( g(24) ) \)