Radical Functions and Rational Exponents Practice

How can you write the expression with a rationalized denominator? 2+sqrt5 / 2-sqrt5

-9-4sqrt5

Find the real square root of 0.81.

0.9

Let f(x) = x-3 and g(x) = x^2. Find f(g(4)).

13

What is the simplest form of the number? 64^2/3

16

In a tornado, the wind velocity in meters per second can be described by the function v(p) = 12.3 sqrt 1134-3p where p is the air pressure in millibars. What is the air pressure of a tornado in which the wind velocity is 49.3 meters per second? Round your answer to the nearest whole millibar.

373 millibars

Scientists can estimate the number of bacteria in a refrigerated food using the formula 0.2b = t^2/20 where b is the number of bacteria and t is the time in seconds. What was the approximate time a food was in a refrigerator if there were 625 bacteria?

50 seconds

Simplify the radical expression. 3sqrt 125x^9

5x^3

Find the real number roots. sqrt -0.25

no real number roots

Find the inverse of the function. y = -3/x+4

y = -4x-3/x

Which expression is equivalent to the one shown below? (4)^-3 x (2z)^5

z^2 / 2

What function is shown by the graph below?

f(x) = 1+1/2 3sqrt x-2

What function is shown by the graph below?

f(x) = sqrt x+2