3 years ago

If f(x)=x^2 what is g(x) A. g(x)=1/9x^2 B. g(x)=(1/3x)^2 C. g(x)=3x^2 D. g(x)=1/3x^2

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

3 0

Answer:

the answer is B

Step-by-step explanation:

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3 years ago

Can anyone help me out on this question?

svp [43]

Firstly , we will check continuity at x=1

we can use method

Suppose, f(x) is continuous at x=c

then it must satisfy

$\lim_{x \to c} f(x)=f(c)$

$\lim_{x \to 1} f(x)=f(1)$

firstly , we can find limit

$\lim_{x \to 1-} f(x)= \lim_{x \to 1-}(x+3)=1+3=4$

$\lim_{x \to 1+} f(x)= \lim_{x \to 1-}(3x+1)=3*1+1=4$

so, we get

$\lim_{x \to 1} f(x)= 4$

now, we can find f(1)

$f(1)=3*1+1=4$

so, we got

$\lim_{x \to 1} f(x)=f(1) =4$

so, this is continuous at x=1

Hence , option-D...........................Answer

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