What is the inverse of f(x)=(5x-7)^2-13 ?

The inverse of f(x)=(5x-7)^2-13 is (sqrt(x+13)+7)/5 ,(-sqrt(x+13)+7)/5

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inverse of f(x)=(5x-7)^2-13

inverse

f (x) = (5 x - 7)^{2} - 13

\frac{x + 13 + 7}{5}, \frac{- x + 13 + 7}{5}

Solution steps

y = (5 x - 7)^{2} - 13

Replace

x

with

y

x = (5 y - 7)^{2} - 13

Solve for

y, x = (5 y - 7)^{2} - 13

\frac{x + 13 + 7}{5}, \frac{- x + 13 + 7}{5}

3 x + 3

4 x + 5 y = 9, (4, - 2)

f (x) = x^{6} - x^{4}

y = 7 x - 11

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

What is the inverse of f(x)=(5x-7)^2-13 ?
The inverse of f(x)=(5x-7)^2-13 is (sqrt(x+13)+7)/5 ,(-sqrt(x+13)+7)/5