NEED HELP ASAP Question A.) k=5 Question B.) ????

asked Sep 10, 2023 148k views

2 votes

NEED HELP ASAP

Question A.) k=5
Question B.) ????

by Pravs

8.0k points

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8 votes

Answer:

b)
f^(-1)(x) = (4x+5)/(3)

Explanation:

b) To find the inverse function, switch the
and
variables and solve for
:

$f(x) = (3x-5)/(4)\\y = (3x-5)/(4)\\x = (3y-5)/(4)\\4x = 3y-5\\4x+5 = 3y\\(4x+5)/(3) = y\\f^(-1)(x) = (4x+5)/(3)$

Verify Answer:

$f(1) = (3(1)-5)/(4) = -0.5\\f^(-1)(-0.5) = (4(-0.5)+5)/(3) = 1$

Vortex answered Sep 14, 2023

7.5k points

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