Let f(x)= 8x^3 -28x +61 and g(x) = 2x+5. find f(x) over g(x)

8(2x+5)^3 - 28(2x+5) + 61 OR 64x^3 + 480x^2 + 1144x + 921

Step-by-step explanation:

I believe you are trying to find f(g(x)). To do this, you must insert g(x) in the place of x in the function.

f(g(x)) = 8(2x+5)^3 - 28(2x+5) + 61

Then, if you don't want to leave this as your answer and simplify, multiply and foil out to get:

64x^3 + 480x^2 + 1144x + 921

Edit: After looking at it, the question might be f(x)/g(x). In that case, use long division with f(x) on the inside and g(x) on the outside. Otherwise, use the answer above.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)