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sergiy2304 [10]
2 years ago
9

If f(x) = 4x-x², find square root f(3/2)

Mathematics
1 answer:
katrin [286]2 years ago
6 0

Answer:

\frac{\sqrt{15} }{2}

Step-by-step explanation:

\sqrt{f(\frac{3}{2} ) , substitute \frac{3}{2} to x

f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2 = \frac{15}{4} or 3.75

\sqrt{f(\frac{3}{2} )=\sqrt{3.75} = \frac{\sqrt{15} }{2}

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Step-by-step explanation:

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Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

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First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

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