Answer:
Range: All Real Numbers
Domain: (-2, ∞)
The intercept of the graph is: (-0.231, 0) and (0, 2).
Inverse Function = [tex]\frac{1}{3}\log{\frac{y+2}{4}}[/tex]
Step-by-step explanation:
The range is the all possible value of a function (or x) that give defined values.
The domain is the all defined values that we get from a function (or y).
There are two intercepts: x-intercept and y-intercept.
The point where the graph meets at the x-axis is known as x-intercept and the point where the graph meets at y-axis is known as the y-intercept.
Here, x-intercept is: (-0.231, 0) and y-intercept is: (0, 2).
The inverse function is inverse of that function. If the input is x and we get result y then in inverse function input is y and result is x.
Here We have, [tex]y=4\exp{3x}-2[/tex]
⇒ [tex]y+2=4\exp{3x}[/tex]
⇒ [tex]\frac{y+2}{4}=\exp{3x}[/tex]
⇒ [tex]\log\frac{y+2}{4}=3x[/tex]
⇒ [tex]\frac{1}{3}\log{\frac{y+2}{4}}[/tex]
