Question

Given the functions, f(x) = 8x − 5 and g(x) = 2 − x, find the function h(x) = f(x) + g(x).

Answer 1

To find the function h(x) = f(x) + g(x), substitute the given functions f(x) = 8x - 5 and g(x) = 2 - x into the expression for h(x). Simplify by combining like terms to get h(x) = 7x - 3.

Step-by-step explanation:

To find the function h(x) = f(x) + g(x), we can substitute the given functions f(x) = 8x - 5 and g(x) = 2 - x into the expression for h(x). This gives us:

h(x) = f(x) + g(x) = (8x - 5) + (2 - x)

Simplifying this expression, we combine like terms:

h(x) = 8x - 5 + 2 - x = 7x - 3

Therefore, the function h(x) is given by h(x) = 7x - 3.