Question

H ( x ) = f ( x ) + g ( x )

Find the combined function
h ( x )
using
f ( x ) = 4 x + 5
, and
g ( x ) = x 2 − 10 x − 10
. This is found by ADDITION. Fill out the table below.

x

f ( x ) = 4 x + 5

g ( x ) = x 2 − 10 x + 10

h ( x ) = ( f + g ) ( x )
0



1



2



3



4

Answer 1

To find the combined function h(x), we need to add the functions f(x) and g(x). Using the given functions, we can substitute these values into the expression for h(x) = f(x) + g(x) and simplify.

Step-by-step explanation:

To find the combined function h(x), we need to add the functions f(x) and g(x). Using the given functions:

f(x) = 4x + 5

g(x) = x² - 10x + 10

We can substitute these values into the expression for h(x) = f(x) + g(x) and simplify:

h(x) = (4x + 5) + (x² - 10x + 10)

h(x) = x² - 6x + 15

Now, we can fill out the table for h(x) by evaluating the function for different values of x:

1. x = 0: h(0) = (0²) - 6(0) + 15 = 15
2. x = 1: h(1) = (1²) - 6(1) + 15 = 10
3. x = 2: h(2) = (2²) - 6(2) + 15 = 7
4. x = 3: h(3) = (3²) - 6(3) + 15 = 6
5. x = 4: h(4) = (4²) - 6(4) + 15 = 7