3 Questions - Major help

[runningforlife]

Find the equation of the line through the two points on the graph f(x) where x=0 and x=1 Use your calculator to sketch each function and the line you find. (Tried all coming up with the wrong answer all of these questions are a refresher.)

a) f(x) = 4(0.5)^x + 10

b) f(x) = 3cos ((pi(x)/2)) + 2

Write the combined function as a composition of several functions.

a) f(g(x)) = square root of (1-x^2) + 2, find a solution for f(x) and g(x).

b) f(g(h(x)))) = 4cos^3(3x), find the solution for f(x), g(x), and h(x). I understand that both of these have several solutions just not used to going in the opposite directions.

Given f(x) = 2x^3-7, find f^-1(x) and then find f^-1(-2).

 

[Deleted member 4993]

Find the equation of the line through the two points on the graph f(x) where x=0 and x=1 Use your calculator to sketch each function and the line you find. (Tried all coming up with the wrong answer all of these questions are a refresher.)


b) f(x) = 3cos ((pi(x)/2)) + 2 → y₁ = f(x₁) = 3 * cos(pi*0/2) +2 & y2 = f(x2) = 3 * cos(pi*1/2) + 2 .... and continue

Write the combined function as a composition of several functions.

a) f(g(x)) = square root of (1-x^2) + 2, find a solution for f(x) and g(x).

b) f(g(h(x)))) = 4cos^3(3x), find the solution for f(x), g(x), and h(x). I understand that both of these have several solutions just not used to going in the opposite directions.

Given f(x) = 2x^3-7, find f^-1(x) and then find f^-1(-2).

.

 

[Deleted member 4993]

Did you run out of red ink

No ... Ted cannot afford red ink anymore!!!

 

[runningforlife]

.

I solved A of that question still having problems with b and I know where to put the 1 and 0 in the problem.

I solved A on the second question as well waiting to hear back from you on B and the inverse equation.

 

[Otis]

Tried all[,] coming up with the wrong answer ...

Please post your work, so that we can show you what went wrongly.

Find the equation of the line through the two points on the graph f(x) where x=0 and x=1 Use your calculator to sketch each function and the line you find.

a) f(x) = 4(0.5)^x + 10

For exercise (a), you first calculated the requested coordinates as (0,14) and (1,12). Correct?

Next, what did you do with those coordinates?

 

[runningforlife]

Please post your work, so that we can show you what went wrongly.

For exercise (a), you first calculated the requested coordinates as (0,14) and (1,12). Correct?

Next, what did you do with those coordinates?

I ran them separately though y-y1/x-x1 which was my mistake and I had everything solved as of 12 except for the inverse problem at the bottom. I've forgot a lot of this precalculus so I'm spending my day reviewing videos on youtube and I might solve the inverse problem as well. Any help would be appreciated I have no work for that problem.

 

[runningforlife]

Please post your work, so that we can show you what went wrongly.

For exercise (a), you first calculated the requested coordinates as (0,14) and (1,12). Correct?

Next, what did you do with those coordinates?

For the inverse I have this so far but I couldn't determine what to do when I got to the cube?

f(x) = 2x^3-7
y=2x^3-7
y + 7 = 2x^3
(y+7)/2 = x^3

I appreciate you not laughing its funny because the problems are simple but I'm having difficulty.

 

[Deleted member 4993]

For the inverse I have this so far but I couldn't determine what to do when I got to the cube?

f(x) = 2x^3-7
y=2x^3-7
y + 7 = 2x^3
(y+7)/2 = x^3 ...... Correct

I appreciate you not laughing its funny because the problems are simple but I'm having difficulty.

Now switch 'x' and 'y' for inverse - and we get

y^3 = (x+7)/2

y = [(x+7)/2]^(1/3) ............. inverse function

Now evaluate at given 'x'.