Question

Can someone help me find the inverse function of f(3)=5x=10

Answer 1

\(\large \bf f^{-1}[f(3)] ?\)

Answer 2

are you looking for the inverse of f(3) or the inverse of f(x) ?

Answer 3

sorry f(x)=5x+10

Answer 4

well.. to get the inverse you want to firstly "swap about the variables" that is \(\bf f(x)={\color{blue}{ y}}=5{\color{brown}{ x}}+10\qquad inverse\implies {\color{brown}{ x}}=5{\color{blue}{ y}}+10\impliedby f^{-1}(x)\) then solve it for "y"

Answer 5

ok so you replace f(x) with y which becomes
y=5x+10

Answer 6

then the inverse is x=5y+10

Answer 7

where does f-1(x) come from

Answer 8

\(f(x)={\color{blue}{ y}}=5{\color{brown}{ x}}+10\qquad inverse\implies {\color{brown}{ x}}=5{\color{blue}{ y}}+10\impliedby f^{-1}(x)\quad
\begin{array}{llll}
\bf inverse\\ \bf notation
\end{array}\)

Answer 9

ok so what will the equation look like now

Answer 10

well... solve it for "y"