Answer:
x=7
Step-by-step explanation:
2x-10=4 add 10 to both sides
2x=14 divide both sides by 2
x=7
Answer:
not -7 just 7
Step-by-step explanation:
Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)
Answer:
3x + 5 - (2x + 2)
3x + 5 -2x-2
x+3
Step-by-step explanation:
Answer:
The period is 360° ( in radians, the period is 2π)
Step-by-step explanation:
For a sine/cosine (sinusoidal) function in the form
y = ASin(Bx-C) + D, we can say
A is the amplitude
360/B is the period
C is the phase shift
D is the vertical translation
<em>The function given is y = 2Sinx</em>
To find the period, we need 360/B. Since "B" is just "1", the period is
360/1 = 360