Solve the rational equation 5 divided by x equals quantity 4 times x plus 1 end quantity divided by x squared, and check for extraneous solutions.

x = 1; x = 0 is an extraneous solution
x = 0; x = 1 is an extraneous solution
x = −1; x = 0 is an extraneous solution
x = 0; x = −1 is an extraneous solution

x =1,   x = 0 is extraneous.

Step-by-step explanation:

5/x = 4x + 1 / x^2

5x^2 = 4x^2 + x

5x^2 - 4x^2 - x = 0

x^2 - x = 0

x(x - 1) = 0

x = 0, 1.

x is not a solution because 5/x is undefined.

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..

the answer to the expression is 83