A community for students.
Here's the question you clicked on:
 0 viewing
Janu16
 one year ago
Given the function f(x)=4(x+3)5, solve for the inverse function when x=3.
Janu16
 one year ago
Given the function f(x)=4(x+3)5, solve for the inverse function when x=3.

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0To 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
 one year ago
Best ResponseYou've already chosen the best response.0Wait so how do you substitute x for 3?

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0@nincompoop can you please help?

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0so it would be x=4(y+3)5 x=4(3+3)5?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Are you still working on this ?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2f(x) = y = 4(x+3)  5 is a line that is given y = 4x + 12 5 y = 4x + 7

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0ya so when do you substitute x for 3?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2The 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
 one year ago
Best ResponseYou've already chosen the best response.2Original: y = 4x + 7 Inverse: x = 4y + 7 x  7 = 4y y = (x7) / 4

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Put x=3 in the inverse function, calculate the y value

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2See it is a reflection if you switch the x and y around, as in the graph

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0ya i see it. it really helped thank you so much and do you know how to do f(g(x) problems?

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0well 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
 one year ago
Best ResponseYou've already chosen the best response.0like i dont know how to setup

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2solve g(2) first, what is that

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0wait do you put 2 for x?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2yes, now find f[g(2)], what do ya think to do?

Janu16
 one year ago
Best ResponseYou've already chosen the best response.04x2x+3 than 6x=3 which is 2?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2since g(2) = 2 , start from the middle and work outwards f(2) = 2^2 + 2*2 + 3

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0oh i forgot to substitute x with 2 for 2x

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0so if i haveanother problem like in future do i solve g first? or depending on the problem

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2for 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
 one year ago
Best ResponseYou've already chosen the best response.0ohok thank you very much!

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0there 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
 one year ago
Best ResponseYou've already chosen the best response.2sure, just tag my name with @name
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.