Question

Evaluate (if possible) the function at the given
value(s) of the independent variable. Simplify the results.

f(x)=x+3/x+1

f(x)-f(1)/x-1

Answer 1

@ganeshie8

Answer 2

that red circled one ?

Answer 3

Yes :)

Answer 4

you're given,

\(\large f(x) = x^3-x\)

Answer 5

and asked to evaluate,

\(\large \frac{f(x)-f(1)}{x-1}\)

Answer 6

start by finding \(f(1)\)

Answer 7

then plug that value in the expression you wanto evaluate

Answer 8

f(1)=1^3-1
f(1)=0?

Answer 9

Excellent !

Answer 10

:)

Answer 11

plug that value in the given expression

Answer 12

f(x)-0/x-1

f(x)/x-1

Answer 13

plug f(x) value also, and simplify

Answer 14

\(\large \frac{f(x)}{x-1}\)

\(\large \frac{x^3-x}{x-1}\)

Answer 15

simplify

Answer 16

I don't know how to simplify that

Answer 17

factor top and see if u can cancel out something

Answer 18

\(\large \frac{f(x)}{x-1}\)

\(\large \frac{x^3-x}{x-1}\)

\(\large \frac{x(x^2-1)}{x-1}\)

\(\large \frac{x(x+1)(x-1)}{x-1}\)

Answer 19

x(x+1)?

Answer 20

which would be x^2+x ?

Answer 21

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

Answer 22

so all i have to write for my answer is x^2+x?

Answer 23

yup, that will do

Answer 24

can you help me with another?