# Question #7d17a

Jun 19, 2017

$f \left(2\right) = 34$

#### Explanation:

We don't have an explicit expression for $f \left(x\right)$ but we can directly calculate a linear transformation of $f \left(x\right)$.

We have:

$f \left(2 x - 4\right) = 8 x + 10$

So let us find the value of $x$ st $2 x - 4$ equals $2$

$2 x - 4 = 2 \implies 2 x = 6$
$\therefore x = 3$

So let us substitute $x = 3$, which gives us:

$f \left(2 \left(3\right) - 4\right) = 8 \left(3\right) + 10$

$\therefore f \left(2\right) = 24 + 10$
$\therefore f \left(2\right) = 34$