Mathematics: Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3

Given the function f(x) = 4(x+3) − 5, solve for

Ответ:

china1283

03.01.2022

F(X)=4x+12-5=4x+7
so
{f(x)-7}/4=x
now in inverse func. f(x0 is converted into x and x is converted into
f(x)^-1
so
f(x)^-1=[x-7]/4
now if x=3
f(3)^-1=[3-7]/4=-4/4=-1

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Ответ:

judyd452

03.01.2022

Mathematics

$f(x)=4(x+3)-5\\
y=4(x+3)-5\\
y=4x+12-5\\
y=4x+7\\
4x=y-7\\
x=\frac{1}{4}y-\frac{7}{4}\\
f^{-1}(x)=\frac{1}{4}x-\frac{7}{4}\\
f^{-1}(3)=\frac{1}{4}\cdot3-\frac{7}{4}\\
f^{-1}(3)=\frac{3}{4}-\frac{7}{4}\\
f^{-1}(3)=-\frac{4}{4}\\
f^{-1}(3)=-1$

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Ответ:

spotty1023

06.05.2020

Mathematics

(L + 10)/(L + 16) = 0.8

Step-by-step explanation:

She needs to answer L more questions to get a grade of 80%.

When she answers L more questions correctly, she will have answered L + 10 questions correctly.

The total number of questions will be L + 16.

L + 10 must be 80% of L + 16

(L + 10)/(L + 16) = 0.8

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Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3

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