Question

Find domain and range of f(x) = x^2

+ 10​

Answer 1

Step-by-step explanation:

Solution :

f(x)=

x-2

x-3

Domain of f(x) will be any real number except 3 as x=3 will make denominator 0.

∴ Domain =x∈R-{3}.

To find range, we need to draw the graph of f(x).

Here, f′(x)=

(3-x-x+2)

(3-x)2

=

1

(3-x)2

∴f′(x)>0.

It means, graph of f(x) will always be increasing.

Now, we can draw the graph of f(x).

Please refer to the video to see the graph.

From the graph, we can see that f(x) goes from -∞→∞ except -1.

∴ Range of f(x) will be (-∞,-1)∪(-1,∞).

Answer 2

Step-by-step explanation:

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