Mathematics: Find the inverse function of f(x)=6+3^√x.

Find the inverse function of f(x)=6+3^√x.

Ответ:

nickykardashian

20.01.2022

Mathematics

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

Step-by-step explanation:

The given rational function is

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

Let

$y = \frac{x - 5}{ - 4x - 2}$

Interchange x and y

$x= \frac{y- 5}{ - 4y - 2}$

Cross multiply

x( - 4y - 2)= y- 5

Expand

$- 4xy - 2x= y- 5 \\ - 4xy - y= 2x - 5 \\y( - 4x - 1)= 2x - 5$

Solve for y;

$y= \frac{ 2x - 5}{ - 4x - 1}$

$y= \frac{ 5 - 2x }{ 4x + 1}$

Therefore

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

0,0(0 оценок)

Ответ:

alannaamarriee

20.07.2022

Mathematics

Let's solve your equation step-by-step. (3x−1)(2)=5

step 1: simplify both sides of the equation. (3x−1)(2)=5

simplify: (3x)(2)+(−1)(2)=5(distribute) 6x+−2=5 6x−2=5

step 2: add 2 to both sides. 6x−2+2=5+2 6x=7

step 3: divide both sides by 6. 6x/6=7/6 x=7/6

answer: x=7/6

good luck mate : p

0,0(0 оценок)

Find the inverse function of f(x)=6+3^√x.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question