Question

Looking for someone to check over my work :)

Answer 1

Perform the requested operation or operations.

f(x) = 4x + 7, g(x) = 3x2

Find (f + g)(x).

Answer 2

i got 12x3 + 21x

Answer 3

you multiplied them ?
you had to add them,
(f+g)(x)= 4x+7 + 3x^2

Answer 4

like if f(x) - x^2, g(x) = e^x
(f+g) (x) = x^2+e^x
thats it!

Answer 5

oh wow lol so its this 4x + 7 + 3x2

Answer 6

lololol im so dumb

Answer 7

ok i have a couple more do you mind?

Answer 8

no i don't mind :)

Answer 9

ok awesome thank you one sec let me get them

Answer 10

f(x) = x minus five divided by eight.; g(x) = 8x + 5, find g(f(x)).

g(f(x)) = x - five divided by eight.

Answer 11

ok i got g(f(x)) = x + 10 but im a little skeptical on that one

Answer 12

oh, how you got that ?
maybe i can find the error in your working ?

Answer 13

ok yes one sec ill type my work

Answer 14

so i get to this point \[8(\frac{ x-5 }{ 8 })+5 \] and im not to sure what to do i figured cancel the 8s then foil the -5 to 5 and get 10

Answer 15

oh wait is it just x?

Answer 16

the 8's get cancelled
what remains is x-5+5 = x+0 = x
just x
:)

Answer 17

AH HA SO i was right :) thanks ok now i have another one similar to these but i don't even know how to start it ill post it one sec

Answer 18

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = nine divided by square root of quantity five x plus five.
they don't even give me g?

Answer 19

y= \[\frac{ 9 }{ \sqrt{5x+5} }\]

Answer 20

you need to find f and g

Answer 21

that's what the equation looks like

Answer 22

how do i even start that?

Answer 23

u just need to identify 2 types of function...
let me give you an example
is 4/x a function ?

Answer 24

no

Answer 25

wait how does the vertical line test work again

Answer 26

wait yes it is

Answer 27

correct, its a function
and what about sqrt (x+9) ?

Answer 28

yes

Answer 29

good,

so in your Question ,
what 2 function can you identify ?

Answer 30

5x+15 and sqr 9 over x?

Answer 31

how about this ?
\(\large f(x)=\dfrac{9}{x},g(x)= \sqrt{5x+15}\)
what will be f(g(x)) then ?

Answer 32

\[\frac{ 9 }{ \sqrt{5x+15} }\]

Answer 33

correct!
got some idea how to identify the functions ?

Answer 34

ahh yes so its this one then? f(x) = nine divided by x., g(x) = 5x + 5 but it doesn't have the square rot around the 5x+5

Answer 35

these are my choices
f(x) = nine divided by square root of x., g(x) = 5x + 5

f(x) = square root of quantity five x plus five., g(x) = 9

f(x) = nine divided by x., g(x) = 5x + 5

f(x) = 9, g(x) = square root of quantity x plus five

Answer 36

ok, there are many answers possible here.
from the given choices, try the 1st one,
what would u get f(g(x)) ?

Answer 37

but in math youre wrong or right xD

Answer 38

let me give u example :

for 1/e^(x^2-4)

the 2 functions could be 1/e^x and x^2-4


or
1/x and e^(x^2-4)

both will give you 1/e^(x^2-4)
both are correctt :)

Answer 39

bot i don't get that because only one of those answers can i recvie my points for

Answer 40

what will you get f(g(x)) for 1st option ?
if u get the required f(g(x)) then its correct one

Answer 41

the 3rd one isn't correct...

Answer 42

ok im not sure what you mean but ill just do what you tell me

Answer 43

omg lol its a

Answer 44

it have to look like the y = did correct

Answer 45

yeah, find f(g(x)) for a)
exactly! it is a :)

Answer 46

heheh :) ok now there is another section i don't quite get. if you have time and know anything about exact values?

Answer 47

i can post it as an other question if you would like a medal or if you don't feel it ill just close this and post it :0

Answer 48

i am not here for medals lol
am just here to help.
if i can help, i will :)

Answer 49

ok awesome ill post it

Answer 50

Find the exact value of the real number y.

y = csc-1(-1)

Answer 51

π

negative pi divided by two

pi divided by four

2π

Answer 52

you know what csc is ?

Answer 53

yes the opposite of cos

Answer 54

\[\cos ^{-1}\]

Answer 55

no...

Answer 56

lol sec

Answer 57

not cos

Answer 58

everything i said but sec

Answer 59

SIN

Answer 60

wait im lost

Answer 61

one sec let me figure thois out

Answer 62

ok

Answer 63

is it arccos?

Answer 64

\(\csc x = \dfrac{1}{\sin x}\)

Answer 65

is that an identity?

Answer 66

yes
\(\csc^{-1}x = y \implies x=\csc y\)

Answer 67

ok gotcha

Answer 68

so u need that value of csc that gives you -1

Answer 69

that angle of csc***

Answer 70

what is csc pi =... ?

Answer 71

im not sure :(

Answer 72

what is sin pi ?

Answer 73

.0548

Answer 74

sin pi = 0
take pi in radians
sin pi = sin 180 degrees = 0

Answer 75

ahh ok

Answer 76

so, csc pi = 1/0 = infinity
so pi is not the answer
similarly try other choices ?

Answer 77

so pie over 4?

Answer 78

whats sin (pi/4)
is it -1 ?

Answer 79

ahh no so the only one that can work is

Answer 80

- pie over 2

Answer 81

yes.

Answer 82

you are honestly the best

Answer 83

not actually , but thanks :)