Question

If f be the greatest integer function defined as f(x) = [x] and g be the modulus function defined as g(x) = |x| , then the value of g of(-5/4) is ?

Answer 1

The value of (gof)(-5/4) is 2.

Step-by-step explanation:

The given functions are

$f(x)=[x]$

$g(x)=|x|$

We need to find the value of (gof)(-5/4).

$(g\circ f)x=g(f(x))$

Substitute $x=-\frac{5}{4}$ in function the above function.

$(g\circ f)(-\frac{5}{4})=g(f(-\frac{5}{4}))$

Since, $f(x)=[x]$, therefore $f(-\frac{5}{4})=[-\frac{5}{4}]=-2$,

$(g\circ f)(-\frac{5}{4})=g(-2)$

$(g\circ f)(-\frac{5}{4})=|-2|$

$(g\circ f)(-\frac{5}{4})=2$

Therefore, the value of (gof)(-5/4) is 2.

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