Question

f(g(1/2)
f(x)=4x+5
g(x)=sqrt 5

Answer 1

u try i will help you !

Answer 2

sqrt x sorry

Answer 3

first find g(1/2).

Answer 4

@ninab731

Answer 5

\[f(g(\frac{ 1 }{ 2 }))\]
\[\sqrt{\frac{ 1 }{ 2 }}\]

Answer 6

\[g(1/2) = \sqrt{1/2}\]

So now you can put that into
\[f(x) = 4x+5\]

Answer 7

now find f(1/sqrt 2)

Answer 8

@ninab731

Answer 9

substitute x=1/sqrt 2 in 4x+5

Answer 10

get some weird decimal answer says \[5+2\sqrt{2}\]

Answer 11

u got it :)

Answer 12

@ninab731

Answer 13

well done .

Answer 14

i get some decimal number not that answer is from book

Answer 15

use a calculator then !

Answer 16

7.828

Answer 17

ya thats what i get but how do they get it into the form of \[5+2\sqrt{2}\]

Answer 18

You have the same answer to your book. You just got the decimal equivalence of 2 sqrt of 2

Answer 19

\[\Large g(x)=\sqrt x\]\[\Large \color{royalblue}{g(1/2)=\sqrt {1/2}}\]

\[\Large f(\color{royalblue}{x})\quad=\quad 4(\color{royalblue}{x})+5\]\[\Large f(\color{royalblue}{g(1/2)})\quad=\quad 4(\color{royalblue}{\sqrt {1/2}})+5\]

Answer 20

tell me sqrt 2
use a calc.

Answer 21

do u have a calculator at first @ninab731 ?

Answer 22

And 2sqrt of 2is 2.828. Adding its value to 5, makes your answer equal to that of the answer of the book.