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Popular >

inverse of f(x)=2log_{2}(x)

Solution

inverse

f (x) = 2 lo g_{2} (x)

Solution

2^{\frac{x}{2}}

Solution steps

y = 2 lo g_{2} (x)

Replace

x

with

y

x = 2 lo g_{2} (y)

Solve for

y, x = 2 lo g_{2} (y)

2^{\frac{x}{2}}

Popular Examples

range of f(x)=3x+6 range

f (x) = 3 x + 6

extreme (e^x)/(1+x)extreme points

\frac{e ^{x}}{1 + x}

line (-2,0),(0,4)line

(- 2, 0), (0, 4)

midpoint (-5,-3),(-1,-7)midpoint

(- 5, - 3), (- 1, - 7)

extreme g(x)=(x-2)^3(x+1)^2 extreme points

g (x) = (x - 2)^{3} (x + 1)^{2}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=2log_{2}(x) ?
The inverse of f(x)=2log_{2}(x) is 2^{x/2}