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

Mathematics

1 answer:

andrezito [222]2 years ago

3 0

Answer:

b) $f^{-1}(x) = \frac{4x+5}{3}$

Step-by-step explanation:

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

$f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}$

Verify Answer:

$f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1$

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