Question

Will Give Medal To Best Answer

Answer 1

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.

−21

−16

−10

−1

Answer 2

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

so, to get the inverse "relation", we simply swap about the variables, and then just solve for "y"

then plug in 3 in it, that is, set x =3

Answer 3

i tried already and got 19..

Answer 4

@jdoe0001

Answer 5

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

Answer 6

-1 ?

Answer 7

yeap

Answer 8

ok thanks