Answer:
27x^6
Step-by-step explanation:
(3x^2)^3=
3^3(x^2)^3=
27x^6
Answer:
If you actually meant f(x)=2x+3x−1 ,
then note it can be rewritten as:
f(x)=2x−2+5x−1=2+5x−1=y
At this point you can find x in terms of y (“make x the subject”):
y−2=5x−1⟹1y−2=x−15
⟹x=5y−2+1=y+3y−2
Switch variables back to x, and you have the inverse function of f:
g(x)=x+3x−2
How do you know you’ve calculated correctly? The composition of f with g should result in x — that is, evaluate f(g) and you should get the result x:
Answer:
The range of x values for which y is unique is 2·π
Step-by-step explanation:
For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x
Hence, f(x) = cos(x - π/4) gives
the x intercept at two penultimate points of the graph of cos(x - π/4) are;
x = 2.36, and x = 8.64
x = 3/4·π, and x = 2.75·π = 
Hence the range of x values for which y is unique is presented as follows

The range of x values for which y is unique = 2·π.