Question

if f(x)= x+3 / 4 (x+3 over 4), what is the equation for f^–1(x)?
a. f^–1(x) = 4(x - 3)
b. f^–1(x) = 4x + 3
c. f^–1(x) = 4(x + 3)
d. f^–1(x) = 4x - 3

Answer 1

\[f(x)=\frac{x+3}{4\left(\dfrac{x+3}{4}\right)}\]Is this your problem?

Answer 2

\(\bf f(x)={\color{blue}{ y}}=\cfrac{{\color{brown}{ x}}+3}{4}
\quad \textit{do the switcharoo baby}\quad {\color{brown}{ x}}=\cfrac{{\color{blue}{ y}}+3}{4}\impliedby f^{-1}(x)\)

Answer 3

\[f(x) = \frac{ x+3 }{ 4 }\]

Answer 4

so the function is

\[y = \frac{x + 3}{4}\]

to find the inverse swap x and y

\[x = \frac{y + 3}{4}\]

now make y the subject of the equation

Answer 5

Oh I simply read it wrong, whoops.