Question

given function f(x)=4(x+3)-5 solve for the inverse function when x=3
A.-21
B.-16
C.-10
D.-1

Answer 1

To find the inverse function, you need to solve for \(x\) in terms of \(y\).

So, replace every "x" with a "y" and solve for "x".

Answer 2

\(\bf f(x)={\color{purple}{ y}}=4({\color{blue}{ x}}+3)-5\qquad inverse\implies {\color{blue}{ x}}=4({\color{purple}{ y}}+3)-5\leftarrow f^{-1}(x)\)

notice that to find the "inverse relation", we simply swap about the variables, and then solve for "y"
once you find the inverse... to solve it when x= 3, just set x = 3 :)

Answer 3

so whats the answer