Question

Let f(x) = 16x^1/3 and g(x) = 2x^2/5. Find the following:

a. f(x) x g(x)

b. f(x) / g(x)

c. What are the domains of f x g and f / g?

Thank you.

Answer 1

a. \(\normalsize\color{royalblue}{ \rm f(x) \cdot g(x) }\)
b. \(\normalsize\color{royalblue}{ \rm f(x)~/~g(x) }\)
c. Domain of part a and of part b.

this?

Answer 2

\[f \left( x \right)=16x ^{1/3} ; g(x) = 2x ^{2/5}\] this is what f(x) and g(x) looks like.

Answer 3

you can use ~ for a space, and if you put ~~ more space and on. (btw)

Answer 4

and can make the size larger by putting large in front of the text

Answer 5

thanks & yes those are the questions.

Answer 6

As far as your question goes: ..... what have you done/attempted so far?

Answer 7

do you know how to find part a?
(multiply when both of the functions equal, together)

Answer 8

\(\large\color{royalblue}{ \rm f(x) \cdot g(x)~~~~~\Rightarrow ~~~~~(16x^{{\Large 1/3}})\cdot (2x^{{\Large 2/5}})}\)

Answer 9

can you simplify this?

Answer 10

no

Answer 11

I am having a glitch right now... I will be back as I fix it

Answer 12

Still can't see my latex, but if you can see it, it shouldn't be a problem

Answer 13

\(\large\color{royalblue}{ \rm 16 \cdot x^{{\Large 1/3}} \cdot 2 \cdot x^{{\Large 2/5}} }\)

Answer 14

there, my latex is back for me

Answer 15

\(\large\color{slate}{ \large\color{royalblue}{ \rm 16 \cdot x^{{\Large 1/3}} \cdot 2 \cdot x^{{\Large 2/5}} } }\)

\(\large\color{slate}{ \large\color{royalblue}{ \rm 16 \cdot 2 \cdot x^{{\Large 1/3}} \cdot x^{{\Large 2/5}} } }\)

\(\large\color{slate}{ \large\color{royalblue}{ \rm 16 \cdot 2 \cdot x^{{\Large ~1/3~+~2/5}} } }\)

Answer 16

rewrote it for you...

Answer 17

do I have to make the denominator of the fractions the same?

Answer 18

yes.

Answer 19

so what will 1/3 + 2/5 be? (hint: common denominator is 15)

Answer 20

11/15?