Question

Help with two problems..

Answer 1

Given f(x)= 3+2/x and g(x)= 1/x find f_g, f-g, fg, and f/g. Determine the domain for each function.

Answer 2

I only need help with the last one. f/g. I got 3x+2/1 the system is telling me its correct but not fully simplified.

Answer 3

@Nnesha

Answer 4

@IrishBoy123

Answer 5

f(x) divide by g(x)
\[\huge\rm \frac{ \frac{ 3+2 }{ x } }{ \frac{ 1 }{ x } }\]
now solve

Answer 6

combine like terms first
and then multiply top with the reciprocal of the bottom fraction

Answer 7

Sorry the site wouldnt load to let me back in..

Answer 8

Huh? I have 3x+2/ 1

Answer 9

\(\color{blue}{\text{Originally Posted by}}\) @Destinyyyy
Given f(x)= 3+2/x and g(x)= 1/x find f_g, f-g, fg, and f/g. Determine the domain for each function.
\(\color{blue}{\text{End of Quote}}\)
f(x) is 3+2/1

Answer 10

?

Answer 11

The 1 is under 3x+2

Answer 12

I need to simplify that further so how.

Answer 13

well the question u posted above is f(x) = 3+2/x

Answer 14

please rewrite f(x) and f(x) function

Answer 15

What?
f(x)= 3+ 2/x
g(x)= 1/x
some*

Answer 16

the x is only under the 2.

Answer 17

3+ 2/x over 1/x * x/x

= 3x+2 all over 1

Answer 18

alright \[\huge\rm \frac{ 3+\frac{ 2 }{ x } }{ \frac{ 1 }{ x } }\]
equal \[\frac{\frac{ 3x+2 }{ x } }{ \frac{ 1 }{ x } } = \frac{ 3x+2 }{ x } \times \frac{ x }{ 1 } = 3x+2\] that's it

Answer 19

that's simplified !

Answer 20

Alright. Thank you.

For f(x)= 2x-5 and g(x)= 4x^2 -4

D. (g*f)(1)

Answer 21

according to the previous post i guess * means compose like (g o f)(1) so first
find f(1) substitute x for 1 into f(x) function
or in other words you have to find g(f(1))

Answer 22

but if it's a multiplication sign then it would be f(1) times g(1)

Answer 23

Yes the o thing.

Answer 24

ye thats what i asked n the previous post
(f * g)(x) isn't same as (f o g)(x)
^multiplication ^substitution

Answer 25

( g o f)(1) = g -compose -f of 1

Answer 26

Yeah sorry about that. Its super tiny on my screen so I assumed it was *

Answer 27

its okay :=)

Answer 28

so for this question find (g o f )(1) = g(f(1))
substitute x for 1 into f(x) function then plugin the result into g(x) function

Answer 29

The picture shows the example I have.

Answer 30

alright so in the example first they solvved g(f(x) and then sub x for 1

Answer 31

So 4(2x-5)^2 -4 ?

Answer 32

looks good

Answer 33

That all turns into 16x^2 -80x +96

Answer 34

And I just plug 1 in for x correct?

Answer 35

alright i'll trust the calculator yes right now replace x with 1

Answer 36

Final answer 32

Answer 37

right

Answer 38

Thank you.

Answer 39

yw