Question

An equation that defines y as a function of x is given.3x-4y=1(a) Solve the equation for y in terms of x, and replace y with function notation f(x).F(x)= _____(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answer 1

SOLUTION

$3x-4y=1$

(a)

Solve the equation for y in terms of x, and replace y with function notation f(x).

$\begin{gathered} 3x-4y=1 \\ -4y=1-3x \\ y=-\frac{1}{4}+\frac{3}{4}x \\ f(x)=-\frac{1}{4}+\frac{3}{4}x \end{gathered}$

F(x) is;

$F(x)=-\frac{1}{4}+\frac{3}{4}x$