Answer:
X is an integer -x < 2 and 2< + 3 < 9 work out possible values of x
Step-by-step explanation:
9514 1404 393
Answer:
f^-1(x) = 4+∛((x-6)/5)
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
then write the answer in functional form.
![\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3Df%28y%29%5C%5C%5C%5Cx%3D5%28y-4%29%5E3%2B6%5C%5C%5C%5Cx-6%3D5%28y-4%29%5E3%5C%5C%5C%5C%5Cfrac%7Bx-6%7D%7B5%7D%3D%28y-4%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%3Dy-4%5C%5C%5C%5Cy%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%5C%5C%5C%5C%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%7D)
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The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.
Answer:
See below.
Step-by-step explanation:
Helen made a mistake in the last step.
2^(4/3) / e = (∛(2^4) / e = ∛(16) / e .
It is the cube root of 2^4 not the 4th root of 2^3.
Stephen made a mistake in the first step.
He replaced ln2 by 2 which is evidently wrong (e^ln2 = 2 NOT ln 2).
Answer:

Step-by-step explanation:
A quadratic equation is always in the form of ;

Number 1 : Can be solved using factorization , Quadratic equation or Completing the square method
Number 2 : Quadratic formula or Completing the square method
Number 3 :Difference of two squares
Number 4 : not a quadratic equation but can be solved using Factorization
I Hope it Helps :)
Answer:
15.87 m
Step-by-step explanation:
Length of ladder = hypotenus = 24 m
Height, opposite = 18m
Foot of ladder from the wall = x
Using Pythagoras rule :
Hypotenus² = opposite² + Adjacent²
x² = hypotenus² - opposite²
x² = 24² - 18²
x² = 576 - 324
x² = 252
x = √252
x = 15.87 m