3x(sqrt 4x+5)/4x+5
You have to multiply the numerator and denominator by sqrt 4x+5 in order to rationalize
The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left.
For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on.
The same principle applies to g(x), for example
g(2)=4(2^2)-3=13,
g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1
and so on.
(g of f)(x) is another way to write g(f(x)), therefore
g(f(x))
=g(2x-4) [because f(x)=2x-4
=4(2x-4)^2-3
=4(4x^2-16x+16)-3
=16x^2-64x+64-3
=16x^2-64x+61
Answer:
24
Step-by-step explanation:
angle = 38
opposite of angle = 15
hypotenuse = c
sohcahtoa
sin utilizes both opposite and hypotenuse
thus,
sin(38) = 15/c
multiply both sides by c to make it a numerator
csin(38) = 15
divide both sides by sin(38) to get c
c = 15/sin(38) ≈ 24
Answer:
no ( 9,22) is not a solution to the system of inequalities but 22os to long to fit in the space
Step-by-step explanation:
i hope this is helpful.
