Question

find the slope f(x)=square root of x+1 over square root of x+2 where x=4

Answer 1

m= 0, b= 1/6 where m is the slope and b is the y-intercept

Answer 2

is it possible for you to write up the solution?

Answer 3

\(\Huge\bf Welcome~to~ \color{#00B4ff}{Open}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge\bf\color{#7cc517}{Study~!!}~\)
My name is Stephen and if you have any questions, come to me.
\[f(x) = \frac{\sqrt{x + 1}}{\sqrt{x + 2}}, x = 4\]
Now, simply take x and plug it in \[f(4) = \frac{\sqrt{4 + 1}}{\sqrt{4 + 2}} = f(4) = \frac{\sqrt{5}}{\sqrt{6}}\] Now, simply solve the fraction.

Answer 4

hey its actually square root of x then +1 and square root of x then +2

Answer 5

Okay, so \[f(4) = \frac{ \sqrt{4} + 1}{ \sqrt{4} + 2}\] Alright! So what I did was take our x + 1 and x + 2 and simply replace the x value with 4 (because we know x = 4).

Now, what do you think the square root of 4 is? Remember, a square root is a number that produces a specified quantity when multiplied by itself.

"7 is a square root of 49"
"5 is a square root of 25" and so forth. So what is the square root of 2?

Answer 6

so the slope is 3 over 7? but don't we have to take the derivate of the function first?

Answer 7

\[\frac{ 5 }{ 6 }\]

Answer 8

i think you forgot to take the square root of 4

Answer 9

I'm glad you caught that.

I didn't know you wanted the derivative. Are we simplying or is there something else? \[\frac{ 2 + 1 }{ 2 + 2 } = \frac{ 3 }{ 4}\]

Answer 10

oh it says find the slope of the tangent line to the curve f(x)=square root of x+1 over square root of x+2 is 25.7 at the point where x=4 it is true or false question and the answer is false i just wanted to know the right answer instead of 25.7

Answer 11

That would've been really helpful information Lol! I don't know calculus very well. We can consult @Directrix ; @Nnesha ; @eliassaab on this

Answer 12

oh anyways I appreciate your help

Answer 13

this is your question

Answer 14

@jenn0117

Answer 15

rationalize it