Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find lim_(x rarr6)h(x) for h(x)=sqrt(5x+6)". "

Find lim⁡x→6h(x) \lim _{x \rightarrow 6} h(x) for\newlineh(x)=5x+6.  h(x)=\sqrt{5 x+6} \text {. }

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Domain and range of square root functions: equationsright chevron icon

Full solution

Q. Find lim⁡x→6h(x) \lim _{x \rightarrow 6} h(x) for\newlineh(x)=5x+6.  h(x)=\sqrt{5 x+6} \text {. }
  1. Plug in xx into h(x)h(x): First, let's plug in the value of xx into the function h(x)h(x).\newlineh(6)=5⋅6+6h(6) = \sqrt{5\cdot 6 + 6}
  2. Calculate h(6)h(6): Now, let's do the calculation.h(6)=30+6h(6) = \sqrt{30 + 6}h(6)=36h(6) = \sqrt{36}
  3. Find square root of 3636: Finally, we find the square root of 3636.\newlineh(6)=6h(6) = 6

More problems from Domain and range of square root functions: equations

Question
What is the domain of this function? \newliney=xy = \sqrt{x} \newlineChoices: \newline{x∣x≥0}\{x|x \geq 0\}\newline{x∣x≤0}\{x|x \leq 0\}\newline{x∣x<0}\{x | x < 0\}\newline{x∣x>0}\{x|x>0\}
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for p p .\newline8=p 8 = \sqrt{p} \newlinep= p = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for p p .\newline4p=10+3p \sqrt{4p} = \sqrt{10 + 3p} \newlinep= p = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
What is the domain of this function? \newliney=xy = \sqrt{x}
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for p p .\newline8=p 8 = \sqrt{p} \newlinep= p = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the derivative of p(x) p(x) . \newlinep(x)=ln⁡(x) p(x) = \ln(\sqrt{x}) \newlinep′(x)= p' (x) = ______
Get tutor helpright-arrow

Posted 9 months ago

Question
Alice studies the relationship between climate and heart disease around the world.\newlineH(t) H(t) models the probability for the occurrence of heart disease (in percents relative to the global average) at an area where the temperature is t t degrees Celsius.\newlineAccording to Alice's model, when the temperature is −5∘C -5^{\circ}C (which is the lowest temperature included in the model), the probability is 10% 10\% above average. Then the probability decreases until the temperature reaches 30∘C 30^{\circ}C (which is the highest temperature included in the model), where the probability is 20% 20\% below average.\newlineWhich number type is more appropriate for the domain of H H ?\newlineChoose 11 answer:\newline(A) Integers\newline(B) Real numbers
Get tutor helpright-arrow

Posted 7 months ago

Question
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.\newlineIt takes 198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of −418-418 meters.\newlineThe highest place possible is the summit of Mount Everest which has an altitude of 88488848 meters. It takes 209209 seconds to boil a perfect egg there.\newlineT(a)T(a) models the time (in seconds) it takes to boil a perfect egg at an altitude of aa meters.\newlineWhich number type is more appropriate for the domain of TT?\newlineChoose 11 answer:\newline(A) Integers\newline(B) Real numbers
Get tutor helpright-arrow

Posted 7 months ago

Question
f(x)=x−1 f(x)=\sqrt{x-1} \newlineThe function f f is defined. What is the value of f(10) f(10) ?
Get tutor helpright-arrow

Posted 10 months ago

Question
h(x)=4x h(x)=\sqrt{4 x} \newlineThe function h h is defined. What is the value of h(9) h(9) ?\newlineChoose 11 answer:\newline(A) 33\newline(B) 66\newline(C) 1212\newline(D) 3636
Get tutor helpright-arrow

Posted 8 months ago

View all (64)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant