What is the inverse of f(x)=log_{10}(x+3)-2 ?

The inverse of f(x)=log_{10}(x+3)-2 is 10^{x+2}-3

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inverse of f(x)=log_{10}(x+3)-2

inverse

f (x) = lo g_{10} (x + 3) - 2

1 0^{x + 2} - 3

Solution steps

y = lo g_{10} (x + 3) - 2

Replace

x

with

y

x = lo g_{10} (y + 3) - 2

Solve for

y, x = lo g_{10} (y + 3) - 2

1 0^{x + 2} - 3

f (x) = 9 x^{5} - 7

f (x) = arctan (0)

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

f (x) = x + 5 y = 15

f (x) = \frac{3 - 2 x}{4}

What is the inverse of f(x)=log_{10}(x+3)-2 ?
The inverse of f(x)=log_{10}(x+3)-2 is 10^{x+2}-3