The result after rationalizing is .
Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction.
Here, given fraction
Multiply and divide by , we get
=
Thus, the result after rationalizing is .
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The linear function with values of f(-1)=8 and f(5)=6 is f(x) = .
What is linear function?
A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.
Here the given values are f(-1)=8 and f(5)=6.
We know that f(x)=y , Then the points are (-1,8) and (5,6).
Using slope formula ,
=> slope m=
=> slope m = -2/6=-1/3
Now using slope formula,
=>
=>y-8=-1/3(x+1)
=>3y-24=-x-1
=> 3y=-x+23
=> y =
Hence the linear function is f(x) = .
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