What is the range of f(x)=3^x+9
1 answer:
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Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y =
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
on comparing with equation (1) we get a =64 and b =8
y =
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
=
=
on comparing with equation (1) we get a =3 and b =3
y =
Given:
The volume of the sphere = 12348π in³
To find the radius of the sphere.
Formula
The volume of a sphere of radius r is
According to the problem,
Eliminating π from both the side.
or,
or,
or,
or,
or,
Hence,
The radius of the sphere is 21 inches.