MATH HW HELP NEEDED ASAP

Question

Let f(x)=−3x+4. Find each of the following:

f(a)=

2f(a)=   

f(2a)=   

f(a+2)=

f(a)+f(2)=   

Answer 1

f(x) = -3x + 4

f(a) = -3a + 4

2f(a)= 2(-3a + 4) = -6a + 8

f(2a) = -3(2a)+ 4 = -6a + 4

f(a + 2) = -3(a + 2) + 4 = -3a - 6 + 4 = -3a - 2

f(2) = -3(2) + 4 = -6 + 4 = -2

f(a) + f(2) = -3a + 4 + (-2) = -3a - 2

Note that f(a) + f(2) is the same as f(a + 2)

This is so because f(x) is linear.