Question

Given the functions, f(x) = 7x − 6 and g(x) = 5 − x, find the function h(x) = f(x) + g(x). h(x) =

Answer 1

The function h(x)=6x-1

Explanation:

Given the functions f(x)=7x-6 and g(x)=5-x

To the function h(x):

Given that h(x)=f(x)+g(x)

That is the function h(x) is the sum of the functions f(x) and g(x)

Now substitute the functions f(x) and g(x) in the above equation to get the function h(x) we get

h(x)=(7x-6)+(5-x)

h(x)=7x-6+5-x (adding the like terms)

h(x)=6x-1

Therefore the function h(x)=6x-1