3 years ago

I need to multi-step function inverse, photo included

Mathematics

1 answer:

STALIN [3.7K]3 years ago

4 0

Answer:

$f^{-1} = (9x + 1)^{7}$

Step-by-step explanation:

$y\:=\:\frac{x^{\frac{1}{7}}-1}{9}$

replace x with y:

$x=\frac{y^{\frac{1}{7}}-1}{9}$

solve for y:

$9x=y^{\frac{1}{7}}-1}$

$9x + 1 = y^{\frac{1}{7} }$

$y = (9x + 1)^{7}$

therefore:

$f^{-1} = (9x + 1)^{7}$

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Answer:

Step-by-step explanation:

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