Mathematics: What is the inverse of f(x) = -5x-4

What is the inverse of f(x) = -5x-4

Ответ:

LAMARTINEZ321

16.01.2022

Mathematics

$\displaystyle f^{-1}(x) = -\frac{1}{5}x - \frac{4}{5}$ .

Step-by-step explanation:

The question has provided an expression for the function f(x) and is asking for its inverse, $f^{-1}(x)$ .

Based on the definition of inverse functions,

$f(f^{-1}(x)) = x$ .

Let $y = f^{-1}(x)$ .

f(y) = x .

-5 y - 4= x .

Solve this equation for $f^{-1}(x) = y$ :

-5y = x +4 .

$\displaystyle y = (-\frac{1}{5})\cdot (x + 4) = -\frac{x}{5} -\frac{4}{5}$ .

However, $f^{-1}(x)=y$ As a result,

$\displaystyle f^{-1}(x) = -\frac{x}{5} -\frac{4}{5}$ .

0,0(0 оценок)

Ответ:

Yorlin4441

16.01.2022

Mathematics

$\large\boxed{f^{-1}(x)=-\dfrac{x+4}{5}}$

Step-by-step explanation:

$f(x)=-5x-4\to y=-5x-4\\\\\text{Exchange x to y and vice versa:}\\\\x=-5y-4\\\\\text{Solve for}\ y:\\\\-5y-4=x\qquad\text{add 4 to both sides}\\\\-5y=x+4\qquad\text{divide both sides by (-5)}\\\\\dfrac{-5y}{-5}=\dfrac{x+4}{-5}\\\\y=-\dfrac{x+4}{5}$

0,0(0 оценок)

Ответ:

eichlingkera13

12.02.2020

Mathematics

Step-by-step explanation:

Which scale drawing of the parallelogram has a scale factor of One-third, if the original parallelog

0,0(0 оценок)

What is the inverse of f(x) = -5x-4

Ответ:

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question