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Derivative of One Function w.r.t Another

Let f(x) be a...

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Let f(x) be a continuous function defined such that x is greater than equal to 1 but less than equal to 3. If f(x) takes rational value for all x and f(2)=5 then f(1.5) =k Find k

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f (x)

be a continuous function defined for

1 \leq x \leq 3

f (x)

takes rational values for all

x

f (2) = 196

f (1.5) =

f (x)

be a continuous function defined for

1 \leq x \leq 3

f (x)

takes rational values for all

x

f (2) = 10

then the value of

f (1.5)

f : R \to R

be a continuous function satisfying

f (0) = 1

f (2 x) - f (x) = x

x \in R .

f (2020)

f

be a continuous function on [1,3]. lf

f

takes only rational values for all

x

f (2) = 10

f (1.5)

f : R \to R

f (2 x - 1) = f (x)

x \in R

f

is continuous at

x = 1

f (1) = 1

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