Question

Write a formula for f(x) in terms of x.

Answer 1

Hence the function is:

$f(x) = 2-\frac{5}{4}x$

Further explanation:

In order to form the function in terms of one varible from given equation, we have to isolate the variable i.e. if we have to make f(x) in terms of x, we have to isolate y.

So,

Given function is:

$5x-4y =-8$

Isolating y

$-4y = -8+5x\\\frac{-4y}{-4} = \frac{-8+5x}{-4} \\\frac{-4y}{-4} = \frac{-8}{-4}-\frac{5}{4}x \\y = 2-\frac{5}{4}x\\Replacing\ y\ with\ f(x)\\f(x) = 2-\frac{5}{4}x$

Hence the function is:

$f(x) = 2-\frac{5}{4}x$

Keywords: Functions, independent variable

Learn more about functions at:

• brainly.com/question/10541435

• brainly.com/question/10879401

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