Ineed with two math problems. question 1- given the quadratic function f(x)=x^2+1, find the value of (2). make sure to show all work! the answer is f(2)=5 but i need to know how to show the work! question 2- find f(3) when f(x)=x^2-3x^2+2. make sure to show all your work! the answer is f(3)=-16 i need to know how to show the work!

Question 1) :  The answer is:  " f(2) = 5 " .

Given the quadratic function:

   " f(x) = x² + 1 "  ;   

FInd the value of:  " f(2) " ;  that is, when "x = 2" ; what is the resulting value?

So, replace all values of "x" in the function with "2" ; and solve to find the "output" ;

    f(2) = (2)² + 1  = (2 * 2)  +  1  =  4 + 1 = 5  .

The  f(2) = 5 .

Question 2):

Given:  " f(x)  =  x² −  3x² + 2 " ;   Find:  "f(3)" ;  that is, when "x = 3" ; what is the resulting value?

So;  replace all values of "x" in the function with "3" ; and solve to find the "output" ;

     f(3) = (3)² − 3(3²) + 2 ;

            = 9 − (3)(9) + 2 ;

            = 9 − 27 + 2 ;
            
            = (9 − 27) + 2 ;
 
            =  - 18 + 2 ;

            =  -16 .

The answer is:   f(3) = - 16 .

Hope these explanations ar of some help.

0.0021 in scientific notation is

Step-by-step explanation:

We need to write 0.0021 in scientific notation.

Scientific Notation: A number expressed in scientific notation is written when numbers between 1 to 10 are multiplied by a power of 10.

In the given example 0.0021 our decimal will be shifted to the right 3 digits and the power will be negative 3 (-3)

So, 0.0021 in scientific notation is