Bare with me a minute, I am still trying to figure it out. Here is what I have so far.
A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3? x = 3 3 < x < 5 3 ≤ x ≤ 4 3 ≤ x <
5
1 answer:
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Answer:
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
We already know m-value as we substitute it.
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
Finally, we know b-value. Then we substitute it in our equation.
Assuming ya meant 
to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos
for the pythaogreaon identity
divide both sides by
since 
subsitute
recall that
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore
so we get
decompose them into
and 
to get 
multiply by
to get
we can furthur simlify to get
the expression simplifies to tan(x)sin(x)
to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos
for the pythaogreaon identity
divide both sides by
subsitute
recall that
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore
so we get
decompose them into
multiply by
we can furthur simlify to get
the expression simplifies to tan(x)sin(x)