Answer:
f = 2
Step-by-step explanation:
g(x) = cos(x/2) - 3x=w where w=-3.5 or -1 or -38.5
13– (13/2)-3*13=-3.5 (1st d value of g(x))
-1-(-1/2)-3*(-1)=-1 (the 2nd possible value)
g(x) = cos(x/2) - 3x=-1 where the first x=13 and the 2nd one=-1
where the first x=-1 and the 2nd one=-38.5 (the 3rd value)
g(x) = cos(x/2) - 3x)=0 where cos(x/2=-3.5
g(f(x)) = cos(f(x)/2) - 3 aka 0.5 f(x) = cos(2x+5 aka 7x) (x/2 - 3 =aka -1 );
(2x+5) = 7x by definition but the equation has to be set to 7 to find x)
(7x/2 -6x=0) -7 on both sides
x/2–6x=-7
x/2= 13
26/2=x
x=13 (these values are set up for 2x+5=7.
13-(-7)=-7
13-6+-1=-7
the 2nd x=-1
gfx=cos*2*x i.e cos*2*13 or cos*2*-1
cos*2*13=26
cos*2*(-1)=-1
cos=1
(cos*2*13)=the 1st gfx value=26 basically.
( cos*2*(-13)=-26 (the 2nd gfx value)
cos*2*(-1)=-`1 (the 3rd gfx value)
f=2
hope this helped!