Question

Find the zero of the following function f. Do not use a calculator. f (x )equals 1.5 x plus 3 (x minus 3 )plus 5.5 (x plus 7 )

Answer 1

(-2.95,0)

x = -2.95 is the zero of the function.

Explanation:

We are given the function:

`f(x) = 1.5x + 3(x-3) + 5.5(x+7)`

We have to find the zero of the function.

Zero of function:

• It is the value where the function have a value zero.

• 
  `(a,0)` such that
  `f(a) = 0`

We can find zero of the function in the following manner:

`f(x) = 1.5x + 3(x-3) + 5.5(x+7) = 0\\1.5x + 3x -9 + 5.5x + 38.5 = 0\\(1.5x + 3x + 5.5x) + (38.5-9) = 0\\10x + 29.5 = 0\\10x = -29.5\\x = -2.95`

Thus, x = -2.95 is the zero of the function.