Question

Use the function to answer the question.
f(x) = 5x - 10
What is the value of f^–1 (–3)?

Answer 1

I got 12

Answer 2

lets test if its correct..

put x = 12 in f(x),
do u get -3 ?

Answer 3

f(12) = 5*12 - 10
= 60 - 10
= 50

so, 12 is not right ok

Answer 4

ohh.... ok. OH, wait, sorry, I got 12 on another question. I don't know this one

Answer 5

to find f^–1 (–3), u need to solve x below :-

-3 = 5x - 10

solve x

Answer 6

Ok, I got 1.4

Answer 7

x = 7/5 = 1.4

is \(\large \color{red}{\checkmark}\)

Answer 8

Ok, sweet. Thank you. Now is this 12? Use the functions to answer the question.
f(x) = 4x - 7; g(x) = x + 3
What is the value of (f circle g)(4)?

Answer 9

looks wrong, lets do it again quick ok

Answer 10

(f o g)(4)

f( g(4) )
^^^

Answer 11

first find g(4)
wat do u get ?

Answer 12

How would I do that?

Answer 13

we're given
g(x) = x + 3

to find g(4), simply put x = 4 above
g(4) = 4+3

Answer 14

(f o g)(4)

f( g(4) )

f (4+3)

f(7)

Answer 15

find f(7) now
give it a try :)

Answer 16

9?

Answer 17

O_o

Answer 18

try again, and do show me wat u tried ok :)

Answer 19

to find g(7), put x = 7 above
g(7) = 7+3
And so then 7 + 3 = 10
so g(10)

Answer 20

we're given, f(x) = 4x - 7

so, to find f(7), simply put x = 7 above :-
f(7) = 4*7 - 7
= 28 - 7
= 21

Answer 21

Oh, I was way off

Answer 22

10. Use the functions to answer the question.
f(x) = 4x – 1; g(x) = 5x2
Which is equal to (f circle g) (x)? (Points : 4)

Answer 23

no, you're doing good, by next question u wil be on track :)

Answer 24

this question u wil be doing urself ok

Answer 25

(f o g)(x)

f( g(x) )

Answer 26

plugin g(x) above

Answer 27

(f o g)(x)

f( g(x) )

f( 5x2 )

Answer 28

plugin x = 5x2 in f(x)

Answer 29

Okay

Answer 30

(f o g)(x)

f( g(x) )

f( 5x2 )

4*5x^2-1

20x^2 - 1

Answer 31

see if that makes some sense

Answer 32

Alright, it does! I got it. Now, I I got the answer (-5, -8) on this on

3. Use the function to answer the question.
f(x) = -3|x + 5| + 8
What is the vertex of the graph of f(x)?

Answer 33

Any Ideas?

Answer 34

f(x) = a|x-h| + k

vertex = (h, k)

Answer 35

So 5 and 8

Answer 36

try again

Answer 37

great work helping and explaining @ganeshie8 ^_^

Answer 38

aww ty tester, jonathan is quick learner :)

f(x) = -3|x + 5| + 8
= -3|x -(- 5)| + 8

Answer 39

OH!!! Cause you have to take the - sign, so you get.... Wait..... OH!!!! -5 and 8?

Answer 40

yes, you got it !

Answer 41

YAY!!! Lol.

4. Use the function to answer the question.
f(x) = |x + 1|
What is the range of f(x)?
(Points : 4)
all real numbers greater than 0

all real numbers greater than or equal to 0

---> all real numbers greater than or equal to -1

all real numbers greater than -1

Answer 42

hint :
range = all y values
domain = all x values

Answer 43

f(x) = |x + 1|

f(x) = |x + 1| + 0
^^^

Answer 44

thats the y-coordinate of vertex

Answer 45

So it would be A

Answer 46

try again

Answer 47

Then B?

Answer 48

yes, it includes 0 also
cuz vertex will be there at (-1, 0)
so range will >= 0

Answer 49

*be

Answer 50

Thank y'all for your help!!!! :D

Answer 51

np :) u wlc !

Answer 52

You want to solve the equation -3 = 5x - 10. That is not the solution to this equation.