Question

they gave me the equation f(x)-f(a)/x-a and f(x)= 5-3x^2. How am I suppose to simplify it.

Answer 1

can you elaborate your question?

Answer 2

how does the equation they gave you look like?

Answer 3

The equation that they gave me is f(x)= 5-3x^2 and they want me to plug it in for f(x)-f(a)/x-a. Simplify it.

Answer 4

i meant how does f(x) - f(a)/x-a look like?

Answer 5

because im interpreting it as \[\huge f(x) - \frac{f(a)}x - a\]

Answer 6

its (f(x)-f(a))/(x-a)

Answer 7

so \[\huge \frac{f(x) - f(a)}{x-a}\]

Answer 8

yes that is the equation...

Answer 9

you have f(x) = 5-3x^2

do you know how to get f(a)?

Answer 10

I do not know how to get f(a).

Answer 11

hint: substitute x with a

Answer 12

confuse.

Answer 13

here;s an example
\[f(x) = x^2 + 2x + 1\]
\[\implies f(a) = a^2 + 2a +1\]
i just substituted a with x

Answer 14

got it now?

Answer 15

so f(a) in this problem will be 5-3a^2?

Answer 16

yes!!

Answer 17

another question is how do i find x and a

Answer 18

you don't. they stay the same. you just sub in f(x) and f(a)

Answer 19

so the denominator x-a just stay the same.

Answer 20

yes it does

Answer 21

I got the answer -3x^2+3a^2. Is that right?

Answer 22

aren't you missing a denominator?

Answer 23

I do not know how to do the denominator part.

Answer 24

just copy it

Answer 25

(-3x^2+3a^2)/(x-a)?

Answer 26

yes

Answer 27

now factor out -3x^2 + 3a^2

Answer 28

so it be 3(-x^2+a^2)/(x-a)?

Answer 29

try factoring out -3 instead of 3

Answer 30

what do you get?

Answer 31

-3(x^2-a^2)/(x-a)

Answer 32

right. now...can you see the difference of two squares tehre?

Answer 33

(-3)(x+a)(x-a)/(x-a) and the x-a will cancel out right?

Answer 34

yes!!

Answer 35

will the answer be (-3)(x+a) or do you have to distribute -3 to (x+a)

Answer 36

whatever you please...or if you're in online school...whatever the computer pleases

Answer 37

If its not online class by keeping it as (-3)(x+a) be correct answer too?

Answer 38

yes

Answer 39

okay thanks a lot for the help.

Answer 40

welcome

Answer 41

I need help how do you find the inverse of f(x)=1+\[\sqrt{1-x^{2}}\]