Find f(x) if it is known that f(2a−1)=7a−13.

The required function f(x) is expressed as f(x)=3.5x-87.5

Given the function f(2a−1)=7a−13

To get f(x), we will equate x with 2a - 1 to find the value of x

x = 2a - 1

x + 1 = 2a

a = (x + 1)/2

Substitute a = (x + 1)/2 into the function as showb:

Hence the required function f(x) is expressed as f(x)=3.5x-87.5

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Step-by-step explanation:

Given:

The given function in terms of 'a' is given as:

In order to determine , we need to make equal to 'x' and find the value of 'a'. Therefore,

Now, plug in the value of 'a' on both sides, we get:

Therefore, the expression for the function in terms of 'x' is: