Help worded question 3 only Please

Question

anonymous · Answer

@jdoe0001 can you help me please

jdoe0001 · Answer

well, they're really just asking for the inverse function, is all
Pedro wants to know when[at what week] he will complete 30 assignments, he just dunnos  what the inverse function of f(x) is

anonymous · Answer

can you solve it for me cause I dont know how?

jdoe0001 · Answer

$\bf f(x) = y = \cfrac{4x-3}{2}\quad\
\textit{we get the inverse of it, by }\text{changing the letters}\
 \color{red}{y} = \cfrac{4\color{blue}{x}-3}{2}\quad \textit{inverse is}\quad \color{blue}{x} = \cfrac{4 \color{red}{y}-3}{2}$

jdoe0001 · Answer

then just solve for "y" on the inverse

anonymous · Answer

how do you solve for Y

jdoe0001 · Answer

well, there's the assumption you're supposed to know that by now

jdoe0001 · Answer

solve, or "isolate y"

anonymous · Answer

okay let me try multiple both sides by 2?

jdoe0001 · Answer

yeap

anonymous · Answer

2x=4y-3?

anonymous · Answer

then what

jdoe0001 · Answer

add 3 to both sides

anonymous · Answer

2x+3=4y next

jdoe0001 · Answer

divide both sides by 4

anonymous · Answer

okay 2x+3/4

jdoe0001 · Answer

$\bf x = \cfrac{4y-3}{2} \implies 2x = 4y-3 \implies 2x+3 = 4y\implies \cfrac{2x+3}{4} = y$

anonymous · Answer

is that the answer

anonymous · Answer

2x+3/4=y

jdoe0001 · Answer

that's what Pedro needs, to plug in the assignments and get the "weeks" it'll take

anonymous · Answer

do I have to do it for him plug the 30 into the x?

jdoe0001 · Answer

ohhh.. hmm, sure, yes, set x = 30, see how many weeks it takes, or see what "y" is

anonymous · Answer

okay next one?

jdoe0001 · Answer

\(\bf y= \cfrac{2x+3}{4}  \implies y= \cfrac{2(30)+3}{4} \implies y= \cfrac{60+3}{4}\

15.75
so, 15 weeks and about day and a half

jdoe0001 · Answer

woops

jdoe0001 · Answer

$\bf y= \cfrac{2x+3}{4}  \implies y= \cfrac{2(30)+3}{4} \implies y= \cfrac{60+3}{4}$

anonymous · Answer

@jdoe0001 ? You there

jdoe0001 · Answer

she played 14hrs already
she's restricted to 4 per week, only for 7 weeks

if we make the weeks "x"
f(x) = 4x  
but she already has 14hrs played from last week
so
f(x) = 4x + 14

jdoe0001 · Answer

well, you may want post anew, so we can all see it and help and revise each other
gives more exposure, or more eyes :)