SOLUTION: If f(x) = 4x2 - 3x + 2, evaluate f(-1). State the domain of the function f(x) = (x+3)/(x-1). Write the equation of the line that passes through the points (1, 1) and (2, 4).

Algebra ->  Functions -> SOLUTION: If f(x) = 4x2 - 3x + 2, evaluate f(-1). State the domain of the function f(x) = (x+3)/(x-1). Write the equation of the line that passes through the points (1, 1) and (2, 4).       Log On


   

Question 1000038: If f(x) = 4x2 - 3x + 2, evaluate f(-1).
State the domain of the function f(x) = (x+3)/(x-1).
Write the equation of the line that passes through the points (1, 1) and (2, 4). Write your answer in slope-intercept form.
Write the equation of the line with a slope of 2/3 and y-intercept of 1. Write your answer in slope-intercept form.
Solve the equation: (4x+1)(2x-7) =0.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Too many different questions in one help request posting.

Domain of f%28x%29=%28x%2B3%29%2F%28x-1%29?
Only restriction is x%3C%3E1.


Evaluate 4x^2-3x+2 if x=-1?
4%28-1%29%5E2-3%28-1%29%2B2
Compute that!


Line containing (1,1) and (2,4)?
m=%284-1%29%2F%282-1%29, and y=mx%2Bb gives you b=y-mx. Just pick either point to find b.


%284x%2B1%29%282x-7%29+=0, solve.
Use Zero Product Rule.
Either 4x+1 is zero or 2x-7 is zero.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1.
If f%28x%29+=+4x%5E2+-+3x+%2B+2, evaluate f%28-1%29.
f%28-1%29+=+4%28-1%29%5E2+-+3%28-1%29+%2B+2
f%28-1%29+=+4+%2B+3+%2B+2
f%28-1%29+=+9
2.
State the domain of the function f%28x%29+=+%28x%2B3%29%2F%28x-1%29.
denominator cannot be equal to zero;so, the domain will be all x except one that makes %28x-1%29=0 and that is x=1
so, the domain is:
{ x element R : x%3C%3E1 }
or, interval notation:
(-infinity,1) U (1,infinity)

3.
Write the equation of the line that passes through the points
(1, 1) and (2, 4). Write your answer in slope-intercept form.
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (1, 1) and (x2, y2) = (2, 4).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%284-1%29%2F%282-1%29+=+3.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 3%2A1+%2Bb+=+-2. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=1-3%2A1+=+-2.

y=(3)x + (-2)

Your graph:




so, your equation is: y=3x+-2
4.
Write the equation of the line with a slope of 2%2F3 and y-intercept of 1. Write your answer in slope-intercept form.
Solved by pluggable solver: Find the equation of the line(with graph)---slope a nd y-intercept:given

Using the slope-intercept form,
y=mx%2Bb
where m=slope, b=y-intercept,
and, substituting the values m=2/3 and b=1,
y=%282%2F3%29x%2B1
And the general equation is,
%282%2F3%29x-y%2B1=0
graph%28900%2C900%2C-20%2C20%2C-20%2C20%2C%282%2F3%29%2Ax%2B1%29




5.
Solve the equation:
%284x%2B1%29%282x-7%29+=0...this product will be equal to zero if one or both terms are equal to zero
if %284x%2B1%29+=0=>4x=-1=>x=-1%2F4
if %282x-7%29+=0=>2x=7=>x=7%2F2