could you help explain this 4 5 are there any formulas tha

could you help explain this? 4 & 5 , are there any formulas that must be followed?

4. A piecewise - defined function fx) is given by f(x) = { Answer the following questions. a) Evaluate f(3) + f(0) b) Find f(fo)). The equation of a line L that is parallel to the line defined by 6x-2y = 5 through the point (-2,2). 5. and passes

Solution

4) a) f(3) = 3^2 + 2 = 11

f(0) = -3*0 + 1 = 1

f(3) + f(0) = 11 + 1 = 12

b) f(f(0)) = f(1) = 1^2 + 2 = 3

5) given line is 6x – 2y = 5

Slope of line = m = 3

Then equation can be written as y = mx + c = 3x + c

Now point is (-2, 2) ======> 2 = 3*-2 + c ========> c = 8

Hence equation becomes y = 3x + 8