Question

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

Answer 1

Answer:

$f(x)=3.5x-9.5$

Step-by-step explanation:

Given:

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

$f(2a-1)=7a-13$

In order to determine $f(x)$, we need to make $2a-1$ equal to 'x' and find the value of 'a'. Therefore,

$2a-1=x\\2a=x+1\\a=\frac{x+1}{2}$

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

$f(2\frac{x+1}{2}-1)=7\frac{(x+1)}{2}-13\\f(x+1-1)=3.5(x+1)-13\\f(x)=3.5x+3.5-13\\f(x)=3.5x-9.5$

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

$f(x)=3.5x-9.5$