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f(x) Transforms to f(-x)

The number of...

Question

The number of solution(s) of $y = x^{2} + 10 x + 22$ and $y = log x,$ is

A

0

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B

1

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C

2

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D

3

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Solution

The correct option is A $0$
$y = x^{2} + 10 x + 22 \Rightarrow y = (x^{2} + 10 x + 25) - 3 \Rightarrow y = {(x + 5)}^{2} - 3$

Thus $y = x^{2}$ is first shifted towards left by $5$ units and then moved down by $3$ units

As $y = x^{2} + 10 x + 22$ and $y = log x$ does not intersect, hence the number of solution is $0.$

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f(x) Transforms to f(-x)

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