Question

Let f(x) =3[x] -2x +1 . Find f(-1.5). Where [x] = The greatest integer in x not greater than x

Answer 1

Answer:

The value of f(-1.5) is -2

Step-by-step explanation:

f(x) = 3[x] -2x +1 ; where [x] is the greatest integer in x not greater than x

Hence, [ -1.5 ] = -2

Then, f(-1.5) = 3[-1.5] -2(-1.5) +1 = 3(-2) +3 +1 = -6 +4 = -2

Answer 2

Given:

Let f(x) =3[x] -2x +1

To Find:

Find f(-1.5). Where [x] = The greatest integer in x not greater than x

Solution:

The greatest integer function is a function that gives the round off the value of the number to the nearest integer less than or equal to it. It is denoted by [x]. The output of the function is always an integer and the domain is the whole real numbers.

A function is a rule in mathematics that gives a relationship between two variables.

We are given that f(x) =3[x] -2x +1 and we need to find the value of f(-1.5)

So it will go as,

$f(x) =3[x] -2x +1 \\f(-1.5)=3*[-1.5]-2*-1.5+1$

And the value of [-1.5] according to the definition of greatest integer function will be -2, put the value in the equation we have,

$f(-1.5)=3*[-1.5]-2*-1.5+1\\=3*-2+3+1\\=-6+4\\=-2$

Hence, the value of f(-1.5) is -2.