Explain why there are restrictions on the domain for the function, f(x)= 1/x-7

Yes , there is restriction on the domain for the function, f (x) = 1/(x- 7)

For explaining it i want to give a example to you.

Let us put x = 7,

Then we get,

f (x) = 1/(7-7)

= 1/0

It is indeterminant form or not defined form☝

So we cannot put x = 7 in this function.

And as we know that the values we put is called domain.

Therefore, there is restriction on uts domain.

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step-by-step explanation:

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct