Problemas
Find the inverse of the function f(x)=3x-7 Drag numbers to the blanks to complete the expression for the inverse. f^-1(x) f^-1(x)=ldots x+ -(7)/(3) (1)/(3) -(4)/(3) (3)/(7) -(3)/(7) -(1)/(3) (7)/(3)
Roztwór
Salma
maestro · Tutor durante 5 años
3.6
(210 Votos)
Respuesta
To find the inverse of the function \( f(x) = 3x - 7 \), follow these steps:### Step 1: Replace \( f(x) \) with
Let
.### Step 2: Swap
and
To find the inverse, interchange
and
:
### Step 3: Solve for
Rearrange the equation to isolate
:
Thus, the inverse function is:
### Step 4: Match the given optionsRewrite \( f^{-1}(x) \) as:
From the provided options, the correct numbers to drag into the blanks are: