The functions f and g that adds up to h(x) are:
f(x) = -2x+3 and g(x) = 7x-9
Step-by-step explanation:
Required output is:
h(x) = 5x-6
In order to find the required f and g functions we will see that which of the two functions add up to h(x)
In order to make our work easier we can see the functions f and g whose coefficients of add up to 5x
Then we can select from the functions that produce h(x)
So,
Pair 1 whose coefficients of x add up to 5 is:
f(x) = -2x+6 and g(x) = 7x-9
Adding both functions
[tex](f+g)(x) = -2x+6+7x-9\\= 5x-3[/tex]
Pair 2 that adds up to 5x
f(x) = 8x+9 and g(x) = -3x-3
Adding both functions:
[tex](f+g)(x) = 8x+9-3x-3\\= 8x-3x+9-3\\=5x+6[/tex]
Pair 3 is:
f(x) = -2x+3 and g(x) = 7x-9
Adding both functions
[tex](f+g)(x) = -2x+3+7x-9\\= -2x+7x+3-9\\=5x-6[/tex]
Hence,
The functions f and g that adds up to h(x) are:
f(x) = -2x+3 and g(x) = 7x-9
Keywords: Functions, Sum of functions
Learn more about functions at:
- brainly.com/question/4694425
- brainly.com/question/4695279
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