What is the inverse of f(x)=log_{10}(x-4)+2 ?

The inverse of f(x)=log_{10}(x-4)+2 is 10^{x-2}+4

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inverse of f(x)=log_{10}(x-4)+2

inverse

f (x) = lo g_{10} (x - 4) + 2

1 0^{x - 2} + 4

Solution steps

y = lo g_{10} (x - 4) + 2

Replace

x

with

y

x = lo g_{10} (y - 4) + 2

Solve for

y, x = lo g_{10} (y - 4) + 2

1 0^{x - 2} + 4

f (x) = 5 x + 3 - 2

f (x) = \frac{3}{x - 7}

f (x) = (1.2) (3.8) (- 3.6)

f (x) = \frac{3}{- x + 2}

f (x) = \frac{x - 10}{x - 6}

What is the inverse of f(x)=log_{10}(x-4)+2 ?
The inverse of f(x)=log_{10}(x-4)+2 is 10^{x-2}+4