A real valued function $f (x)$ satisfies the functional equation $f (x - y) = f (x) f (y) - f (a - x) f (a + y)$ where $a$ is a given constant and $f (0) = 1, f (2 a - x)$ is equal to

Q. A real valued function

f (x)

satisfies the function equation

f (x - y) = f (x) f (y) - f (a - x) f (a + y)

where a is a given constant

f (0) = 1, f (2 a - x)

is equal to

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In general form of exponential function y=f(x)=abmx,a,b and m are considered as

The correct option is D real valued constantsGiven y=f(x)=abmxHere generally a,b,m are considered as real valued constantsTherefore the correct option is D

In general form of exponential function $y = f (x) = a b^{m x}, a, b$ and $m$ are considered as

The correct option is D real valued constants
Given $y = f (x) = a b^{m x}$
Here generally $a, b, m$ are considered as real valued constants
Therefore the correct option is $D$