3 years ago

Given the functionf(x)=0.5(3)^x, what is value of f-1(7)

1 answer:

4 0

Ok, a fun hack

if f⁻¹(a)=b then f(b)=a

so if f⁻¹(7)=b then f(b)=7

to find b, find x such that f(x)=7

7=0.5(3)^x
times both sides by 2 (or divide both sides by 0.5)
14=3^x
take log₃ of both sides
$log_3(14)=x$

$f^{-1}(7)=log_3(13)$

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What is this expression in simplified form? 5v2 - 9v6

Naya [18.7K]

A n s w e r:

v^2(5-9v^4)

5 0

3 years ago

Jonah drives from his car to and from work. The total length of the trip to and from work is 19.2 miles. In August, Jonah worked

natita [175]

ANSWER

The total length of the trip to and from work in August is

$403.2 \: miles$

EXPLANATION

The total length of the trip to and from work is

$19.2 \: miles$

If Jonah worked 21 days in August,

Then, the total length of the trip to and from work is
$= 21 \times 19.2 \: miles$

Change the decimal to fraction and multiply,

$= 21 \times \frac{192}{10} miles$

$= \frac{21 \times 192}{10}$

$= \frac{4032}{10} miles$

Convert back to decimal

$= 403.2 \: miles$