Question

This confuses me, please help.

Answer 1

@dan815 any help?

Answer 2

\(\sf f(\dfrac{1}{2})\) means to plug in 1/2 for 'x'

Answer 3

\(\sf f(x) = 3^x\)

\(\sf f(\dfrac{1}{2}) = 3^{\frac{1}{2}}\)

Answer 4

Simplify the right side.

Answer 5

1.5, right?

Answer 6

No..1/2 is an exponent, it's not being multiplied.

\(\sf 3^{\frac{1}{2}} \rightarrow 3^{0.5}\)

Answer 7

Plug it in your calculator

Answer 8

I do not have one, but would it be 1/3 of 3^0.5?

Answer 9

Well, you can't really do this without a calculator.

Answer 10

\(\sf a^{\frac{n}{m}} \rightarrow \sqrt[m]{a^n}\)

Answer 11

So basically we're looking at:

\(\sf \sqrt[2]{3^1} \rightarrow \sqrt{3}\)

Answer 12

\(\sf \sqrt{3} \approx 1.73205081.~.~.\)

Answer 13

Now can you do the same with \(\sf f(\dfrac{1}{4})\)?

Answer 14

I can try.

Answer 15

I got 1.31607401 from the calculator I just got.

Answer 16

Yep!

\(\sf f(\dfrac{1}{4}) \rightarrow f(\dfrac{1}{4}) = 3^{\frac{1}{4}} \rightarrow \sqrt[4]{3^1} \rightarrow \sqrt[4]{3} \rightarrow 1.31607401.~.~.\)

Answer 17

Don't forget to round both of them to the nearest hundredth.