Step-by-step explanation:
(A) To find inverse of f(x) = y = 1 / x - 3 :
<u>Transform in terms of x</u>
y = 1 / x - 3
x - 3 = 1 / y
x = 3 + 1 / y
<u>Exchange x with y</u> :
Therefore, g(x) is not inverse of f(x) and vice versa.
(B)
Domain of f(x) = R - {3}
Domain of g(x) = R - {0}
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Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
Answer:
find where they intersect on the graph or find each line's individual equation and set them equivalent to eachother. x=2
Answer:
SLOPE IS -3
Step-by-step explanation:
4-7 over 0-(-1)
