Question

[3.07] Consider the functions f(x) = 2x + 1 and g(x) = x2 − 10. What is the value of f[g(3)]? need help

Answer 1

first...doyou know how to solve g(3)?

Answer 2

No ...

Answer 3

solve for g(3) then f(g)

Answer 4

substitute every x of g(x) with 3...what do you get?

Answer 5

replace x with 3

Answer 6

so first i do 2(3)+1 which =7 ?

Answer 7

no..you do (3)^2 - 10

Answer 8

ohhh ok so all you do is replace the x's with 3 and then you just simplify it down until you get an answer?

Answer 9

yep...but that's just for g(3)

Answer 10

so what is the value of g(3)

Answer 11

what is the little carrot replaced for again

Answer 12

(3)^2 - 10

Answer 13

i got lost at the little half triangle

Answer 14

half triangle? oh..

Answer 15

\[\implies (3)^2 - 10\]

Answer 16

^ is how to denote exponents

Answer 17

ohhh ok now i understand what your saying the answer is -1

Answer 18

yup. so f(g(3)) = f(-1)

so now substitute every x of f(x) with -1

Answer 19

the answer is -1

Answer 20

right

Answer 21

Thank you so much :) i understand it because of you

Answer 22

welcome ^_^ and glad to hear that :D

Answer 23

^.^

Answer 24

i have another question