What is the inverse of f(x)=(log_{10}(x+5))-2 ?

The inverse of f(x)=(log_{10}(x+5))-2 is 10^{x+2}-5

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inverse of f(x)=(log_{10}(x+5))-2

inverse

f (x) = (lo g_{10} (x + 5)) - 2

1 0^{x + 2} - 5

Solution steps

y = lo g_{10} (x + 5) - 2

Replace

x

with

y

x = lo g_{10} (y + 5) - 2

Solve for

y, x = lo g_{10} (y + 5) - 2

1 0^{x + 2} - 5

y = - x + 3 - 2

- 4 x + 7

\frac{x}{2 - x}

f (x) = \frac{1}{4} x^{2} + x - 1

+ 2 x^{3}

What is the inverse of f(x)=(log_{10}(x+5))-2 ?
The inverse of f(x)=(log_{10}(x+5))-2 is 10^{x+2}-5