Evaluate the function f(x) at the given numbers (correct to six decimal places).

f(x) = x^2 − 5x/x^2-x-20

x = 5.5, 5.1, 5.05, 5.01, 5.005, 5.001, 4.9, 4.95, 4.99, 4.995, 4.999

The values of given function are shown in the below table.

Step-by-step explanation:

The given function is

Simplify the given function.

Cancel out the common factor.

Substitute x=5.5 in the above equation.

Similarly find the value for all values of x.

The values of given function are shown in the below table.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5