Question

f(x) = 3.7 - 2x

g(x) = 0.25x - 5

what is f(x) + g(x)?

○ h(x) = 3.95x - 7
○ h(x) = 8.7 - 2.25x
○ h(x) = -1.3 - 1.75x
○ h(x) = 3.95 - 7x

Explanation:

Step1: Substitute the functions

We know that \( f(x) = 3.7 - 2x \) and \( g(x) = 0.25x - 5 \). To find \( f(x)+g(x) \), we substitute these into the expression:
\( f(x)+g(x)=(3.7 - 2x)+(0.25x - 5) \)

Step2: Combine like terms

First, combine the constant terms: \( 3.7-5=-1.3 \)
Then, combine the \( x \)-terms: \( -2x + 0.25x=-1.75x \)
So, \( f(x)+g(x)=-1.3 - 1.75x \)

Answer:

\( h(x)= -1.3 - 1.75x \) (the third option: \( h(x)= -1.3 - 1.75x \))