Question

If the domain of the function f(x) = x2

-6x +7 (-ALPA,ALPA) then the range of function is ​

Answer 1

Answer:

Let y=x

2

−6x+7

⇒x

2

−6x+7−y=0

On comparing with ax

2

+bx+c=0, we get

a=1, b=−6 and c=(7−y)

Now,

x=

a

−b±

b

2

−4ac

=

2

6±

36−4(7−y)

=

2

6±

36−28+4y

=

2

6±

4y+8

=

2

6±2

y+2

=3±

y+2

f(x) is defined only when

y+2≥0⇒y≥−2

∴ Range of f(x)=[−2,∞).

Video Explanation

Solution to Question ID 641261

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