Let f be the greatest integer function defined as f(x) = [x] and g be the modules function defined as g(x) = |x|, then the value of $g o f (- \frac{5}{4})$ is ___________.

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Solution

Given: f(x) = [x] and g(x) = |x|

$g o f (- \frac{5}{4}) = g (f (- \frac{5}{4})) = g ([- \frac{5}{4}]) = g (- 2) = |- 2| = 2$

Hence, the value of $g o f (- \frac{5}{4})$ is 2.

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Let f be the greatest integer function defined as f(x) = [x] and g be the modules function defined as g(x) = |x|, then the value of gof−54 is ___________.

Given: f(x) = [x] and g(x) = |x| gof-54=gf-54 =g-54 =g-2 =-2 =2 Hence, the value of gof−54 is ​2.

Let f be the greatest integer function defined as f(x) = [x] and g be the modules function defined as g(x) = |x|, then the value of $g o f (- \frac{5}{4})$ is ___________.

Given: f(x) = [x] and g(x) = |x|

$g o f (- \frac{5}{4}) = g (f (- \frac{5}{4})) = g ([- \frac{5}{4}]) = g (- 2) = |- 2| = 2$

Hence, the value of $g o f (- \frac{5}{4})$ is 2.