Janu16
  • Janu16
Given the function f(x)=4(x+3)-5, solve for the inverse function when x=3.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Janu16
  • Janu16
plz help
Janu16
  • Janu16
@Mehek14
Janu16
  • Janu16
@Michele_Laino

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More answers

anonymous
  • anonymous
To find the inverse of a function, you always want to change x and y, then solve for y again. First, change f(x) to y to avoid any confusion. \[y=4(x+3)-5\] Now, swap x and y. \[x=4(y+3)-5\] All you have to do now is solve for y. Once you've done that, substitute 3 in for x, and you'll be all set!
Janu16
  • Janu16
Wait so how do you substitute x for 3?
Janu16
  • Janu16
@adrianna45
Janu16
  • Janu16
@nincompoop can you please help?
Janu16
  • Janu16
@perl
geerky42
  • geerky42
by plug in x=3
geerky42
  • geerky42
Just replace x to 3.
Janu16
  • Janu16
so it would be x=4(y+3)-5 x=4(3+3)-5?
Janu16
  • Janu16
@geerky42
DanJS
  • DanJS
Are you still working on this ?
Janu16
  • Janu16
yes
DanJS
  • DanJS
f(x) = y = 4(x+3) - 5 is a line that is given y = 4x + 12 -5 y = 4x + 7
Janu16
  • Janu16
ya so when do you substitute x for 3?
DanJS
  • DanJS
The inverse of that , will be another line that is reflected over the line with slope 1, y=x. To figure that , you can just switch x and y around and resolve for the new y.
DanJS
  • DanJS
Original: y = 4x + 7 Inverse: x = 4y + 7 x - 7 = 4y y = (x-7) / 4
DanJS
  • DanJS
Put x=3 in the inverse function, calculate the y value
Janu16
  • Janu16
-1?
geerky42
  • geerky42
That's correct.
DanJS
  • DanJS
DanJS
  • DanJS
See it is a reflection if you switch the x and y around, as in the graph
Janu16
  • Janu16
ya i see it. it really helped thank you so much and do you know how to do f(g(x) problems?
DanJS
  • DanJS
sure
Janu16
  • Janu16
well i need help with Given that f(x) = x2 + 2x + 3 and g(x) = quantity of x plus four, over three, solve for f(g(x)) when x = 2.
Janu16
  • Janu16
like i dont know how to setup
DanJS
  • DanJS
solve g(2) first, what is that
DanJS
  • DanJS
g(x) = (x+4) / 3
Janu16
  • Janu16
2?
Janu16
  • Janu16
wait do you put 2 for x?
DanJS
  • DanJS
yes, now find f[g(2)], what do ya think to do?
Janu16
  • Janu16
4x2x+3 than 6x=3 which is 2?
DanJS
  • DanJS
since g(2) = 2 , start from the middle and work outwards f(2) = 2^2 + 2*2 + 3
Janu16
  • Janu16
11?
DanJS
  • DanJS
yeah
Janu16
  • Janu16
oh i forgot to substitute x with 2 for 2x
Janu16
  • Janu16
so if i haveanother problem like in future do i solve g first? or depending on the problem
DanJS
  • DanJS
for compound functions like f([g(x)] start with the inner function, evaluate if given a value, then use g(x) value in f(x)... work inner function to outer functions
Janu16
  • Janu16
ohok thank you very much!
DanJS
  • DanJS
welcome, goodluck
Janu16
  • Janu16
there are like some problems like f(x) and g(x) and you have to compare them. there are lot of problems but i dont know how to compare like if you know how to do it i will put it on new page
DanJS
  • DanJS
sure, just tag my name with @name
Janu16
  • Janu16
ok thanks

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