Question

If f(x)=25-x^2 and g(x)=x+5 , what is(f/g) ? Write your answer in simplest form.

Answer 1

(f/g)(x) = f(x) / g(x)

Answer 2

that would be x^/25, x/5
what do i do with these

Answer 3

x^2/25

Answer 4

would it be 4

Answer 5

f(x) / g(x) = (25-x^2) / x+5

Answer 6

5-x

Answer 7

is should be 5-x yes or no

Answer 8

the numerator : 25-x^2
is a difference of squares

A difference of square can be expressed as
a^2-x^2 = (a-x)(a+x)

because (a-x)(a+x) = a(a+x)-x(a+x)
= a^2+ax-ax+x^2
= a^2-x^2

Answer 9

yes

Answer 10

now is that in the simplest term?

Answer 11

or do i have to do -x+5

Answer 12

yeah the denominator has divided away

Answer 13

the end answer would be 5-x

Answer 14

5-x, or -x+5

i prefer the first arrangement, some people might like the other one better

the main point is that we got rid of that demoninator

Answer 15

okay i might have a few more ill need help on

Answer 16

(f + g)(2)
(f − g)(4)
(f ÷ g)(2)
(f × g)(1)

Answer 17

(f + g)(x) = f(x) + g(x)

Answer 18

you can add the functions and then evaluate with x=2,
or evaluate the functions with x=2 and then add.

Answer 19

Pairs
-4
7/3
10
0

Answer 20

can you show me with one and ill try to get the rest

Answer 21

it might be easiest to find
(f + g)(2) as f(2) + g(2)

Answer 22

that would be 4

Answer 23

f(2) = 25 - (2)^2

Answer 24

?

Answer 25

are the f and g the same as for the original question?

Answer 26

If f(x) = 2x + 3 and g(x) = x2 − 1, find the values of combining these functions. Match each combined function to its corresponding value.

Answer 27

oh right

Answer 28

thats what everything needs to plug into

Answer 29

so you have
(f+g)(2) = f(2)+g(2)

f(x) = 2x + 3
g(x) = x^2 − 1


f(2) = 2(2) + 3
g(2) = (2)^2 − 1

Answer 30

im so lost right now how will we plug the stuff in tho

Answer 31

which one of these (f + g)(2)
(f − g)(4)
(f ÷ g)(2)
(f × g)(1)

will pair up with these
-4
7/3
10
0

Answer 32

we pluged in x=2 into f(x) = 2x + 3
we got f(2) = 2(2) + 3
= 2 × 2 + 3
=

Answer 33

7

Answer 34

yeha,
now we plug

x=2 into g(x) = x^2 - 1
we got g(2) = 2^2 - 1
=

Answer 35

5

Answer 36

almost

Answer 37

7 as well no it would be 6

Answer 38

g(2) = 2^2 - 1
= 4 - 1
=

Answer 39

3

Answer 40

so f(2) = 7, and g(2) = 3
(f+g)(2) = f(2)+g(2)
= 7+3
=

Answer 41

10

Answer 42

ok. next!

(f − g)(4)

Answer 43

hold on which one = 10?

Answer 44

yes 10 is 10

Answer 45

(f + g)(2)
(f − g)(4)
(f ÷ g)(2)
(f × g)(1) which one of thos = 10

Answer 46

We plug x=4 into f(x) = 2x + 3

we get f(4) = 2(4) + 3
= 2 × 4 + 3
=

Answer 47

oh the one we just did was (f + g)(2), right?

Answer 48

okay on to the next one

Answer 49

11

Answer 50

is the answer to what you asked

Answer 51

and what is g(4)?

Answer 52

gonna have to go through the steps im sorry

Answer 53

plug x=4, into g(x)

Answer 54

7

Answer 55

its not a guess promise

Answer 56

cause if g(x)=x^-1 it would be 4*2-1

Answer 57

4*2=8-1=7

Answer 58

?

Answer 59

g(x) = x^2 - 1
we get g(4) = 4^2 - 1
= 4 * 4 - 1

Answer 60

15

Answer 61

so (f-g)(4) = ?

Answer 62

-4

Answer 63

correct

Answer 64

can we do the next two as well please

Answer 65

first it will be 7

Answer 66

f(x) = 2x + 3
g(x) = x^2 − 1

(f ÷ g)(2)

f(2) =7

Answer 67

next will be 5

Answer 68

so 7/5 right

Answer 69

wait
g(x) = x^2 − 1
g(2) = (2)^2 - 1
= 2 * 2 - 1

Answer 70

3

Answer 71

the answer is 7/3

Answer 72

yes,

Answer 73

okay next

Answer 74

5 for the next one

Answer 75

Now lastly

(f × g)(1)

Answer 76

next is 0

Answer 77

5*0 is 0 right

Answer 78

f(x) = 2x + 3 f(1) = 2(1) + 3 = 5
g(x) = x^2 − 1 g(1) = 1^1 -1 = 0

(f × g)(1) = 5 * 0 = 0 \(\checkmark\)

Answer 79

dont leave yet

Answer 80

got two more different questions

Answer 81

A car factory produces 100 cars in a day. If c is the total number of cars produced in d days, which equation represents the number of cars as a function of the number of days?

Answer 82

i have to sleep, if you close this question, and open a new post someone may help you

Answer 83

okay thank you so much for your help

Answer 84

good night!