Scientific Notation Express each number in standard decimal notation form. 1 4.5 x 10 2 2 x 10-3. 1.725896 x 106 4.9.61 x 10'5. 1 106.8.256 x 10' 7. 5.26 x 10^8. 3.25 x 10 9.6.79 x 10- 10.3.1 x 10 * 11. 2.51 x 10 -12 6 10"! Express each number in scientific notation. 13. 720 14.7,560 15. 892 16. 1,400 17. 91,256 18. 51,000 19. 0.012 20. 0.0002 21 0.054 22. 0.231 23. 0.0000056 24. 0.000123 ​

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!