# How do you find f(3/4) given f(x)=-1+1/4x?

Aug 18, 2016

When you insert 0.75 in the function, the answer will be -0.8125

#### Explanation:

You will solve it easily by putting 0.75=3/4 into function equation.

Now you will have -1+(3/16)= -13/16 = -0.8125

Aug 18, 2016

I would prefer to retain fractions as the expression is given in fractions.

#### Explanation:

Given
$f \left(x\right) = - 1 + \frac{1}{4} x$
To find $f \left(\frac{3}{4}\right)$, insert value of $x$ in both sides of the equation. We obtain
$f \left(\frac{3}{4}\right) = - 1 + \frac{1}{4} \times \frac{3}{4}$
$\implies f \left(\frac{3}{4}\right) = - 1 + \frac{3}{16}$
Simplifying RHS we obtain
$f \left(\frac{3}{4}\right) = \frac{- 16 + 3}{16}$
$f \left(\frac{3}{4}\right) = - \frac{13}{16}$