site stats

For what value of k is f continuous at x 2

WebAs f(x) is continuous at x=2 lim x→2 +f(x)=lim x→2 +(3x−1) =3×2−1=6−1=5 And lim x→2 −f(x)=lim x→2 −(2x+1) =2×2+1=4+1=5 ⇒f(2 −)=f(2 +)=k since f is continuous at x=2 … WebApr 21, 2024 · Let f(x + y) = f(x) + f(y) for all x and y. If the function f(x) is continuous at x = 0 then show that f(x) is continuous at all x asked Feb 4, 2024 in Mathematics by …

Let f be the function defined. For what values of b is f continuous at x=2

Webf(x)= x^2 - 3x + 9, for x when it is less than and equal to 2kx + 1,for x > 2For what value of k, if any, is f continuous at x = 2? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. WebApr 10, 2024 · Solution For (2y) If function f(x)={x−1x2−1 , when x =1, when is when x=1 continuous at x=1, then value of k will be: (a) -1 (b) -3 (d) 2. The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor login. Login. Student Tutor. Filo instant Ask button for chrome browser. ... hendricks in roslyn https://alexeykaretnikov.com

(2y) If function f(x)={x−1x2−1 , when x =1, when is when x=1... Filo

WebConsider f(x)={(x^(2),...x<=2),(kx+10,x>2):} Find the value of k that makes f continuous at x=2. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. 1st step. All steps. Final answer. WebExpert Answer 100% (3 ratings) Transcribed image text: x² + kx-2 xx-2 3x +4x +3 x'+2 -25x<0 (x)= 0 x=0 2e x>0 2-e' 1) For what values of k, if any, will f be continuous at x = -22 Justify your answer. 2) What type of discontinuity does f have at x = 0? Justify your answer. 3) Find all horizontal asymptotes of the graph y = f (x). WebLet f be the function defined. For what values of b is f continuous at x = 2 f(x) = {e bx for x ≤ 2 {1.5x + b for x ≥ 2. Solution: For f to be continuous at 2, the two definitions must agree for x = 2.. Thus, e 2b = 3 + b. The roots of the function,. g(b) = e 2b - 3 - b. First, prove it must have 2 roots. hendricks insurance agency southlake tx

If f (x) = {((2^x + 2) - 16)/(4^x - 16) : x ≠ 2), (k, : x = 2) is ...

Category:For what value (s) of k is the function f (x) continuous at x = -3 ...

Tags:For what value of k is f continuous at x 2

For what value of k is f continuous at x 2

calculus - How to show that $f(x)=x^2$ is continuous at $x=1 ...

WebWe say that f is continuous at c if lim x → c f ( x) = f ( c). Notice, this actually contains three parts, f ( c) is defined lim x → c f ( x) exists The two values in parts 1 and 2 are equal. So, you need to show the 3 parts of this are true with the function f ( x) = x 2 and when c = 1, or figure out which part is not true. Is f ( 1) defined?

For what value of k is f continuous at x 2

Did you know?

WebAs f(x) is continuous at x=2 lim x→2 +f(x)=lim x→2 +(3x−1) =3×2−1=6−1=5 And lim x→2 −f(x)=lim x→2 −(2x+1) =2×2+1=4+1=5 ⇒f(2 −)=f(2 +)=k since f is continuous at x=2 ∴k=5 Solve any question of Continuity and Differentiability with:- Patterns of problems &gt; Was this answer helpful? 0 0 Similar questions If f:R→R is defined by Web3 Answers. Sorted by: 2. We must have f ( 2) = lim x → 2 ( 2 x + 5 − x + 7 x − 2) for f ( x) to be continuous at x = 2. Since plugging in 2 gives us 0 0, we can use L'hopital's Rule and …

WebQ: suppose f is a continuously differentiable function satisfying f (3)=6, and f' (3)=5. Find (f^-1)' (6) A: Given f (3)=6, f' (3)=5 To find f-1'6 By the formula, f-1'x=1f'f-1x And we know … WebDec 20, 2024 · In the following exercises, find the value (s) of k that makes each function continuous over the given interval. 145) f(x) = {3x + 2 x &lt; k 2x − 3 k ≤ x ≤ 8 Answer: 146) f(θ) = {sinθ 0 ≤ θ &lt; π 2 cos(θ + k) π 2 ≤ θ ≤ π 147) f(x) = { x2 + 3x + 2 x + 2 x ≠ − 2 k x = − 2 Answer: 148) f(x) = {ekx 0 ≤ x &lt; 4 x + 3 4 ≤ x ≤ 8

WebApr 21, 2024 · If the function f(x) is continuous at x = 0 then show that f(x) is continuous at all x asked Feb 4, 2024 in Mathematics by Sanskar ( 34.1k points) continuity and differntiability WebSep 15, 2024 · 👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill ...

WebJun 2, 2016 · Note that a function f ( x) is continuous if lim x → a f ( x) = f ( a), means that the global limit as x approches a exists and it's exactly equal to f ( a). The two one-sided …

WebMay 13, 2024 · 0:00 / 3:21 FIND THE VALUE OF K THAT MAKES THE FUNCTION CONTINUOUS Jake's Math Lessons 4.51K subscribers Subscribe 99 Share 13K views 2 … laptop computer batteries cheapWebNov 8, 2024 · asked Nov 8, 2024 in Mathematics by Samantha (39.3k points) For what value of k, is the function defined by f (x) = {k (x2 + 2), if x ≤ 0 and 3x + 1, x > 0} is continuous at x = 0? Also, find whether the function is continuous at x = 1. continuity and differntiability cbse class-12 1 Answer +1 vote answered Nov 8, 2024 by Jyoti (30.5k points) hendricks irrigationWebAnswer (1 of 3): A lot of calculus students struggle with piecewise defined functions. There is very straightforward procedure to set up an equation to answer this question exactly. … laptop computer bed trayWebFor what value of k is f continuous at x 2 ? Question A sketch of this problem Transcribed Image Text: (2x+1) (x-2) x - 2 k for x # 2 S (x) = for x = 2 Let f be the function defined above. For what value of k is f continuous at x = 2 ? Expert Solution Want to see the full answer? Check out a sample Q&A here See Solution star_border laptop comparison malaysiaWebOct 18, 2024 · a) If f is continuous at -3, then the graph cannot jump at that point. (2x 2 + 5x -3)/ (x 2 + 4x +3) must = (kx + 1/2) when x= -3 by substitution you get. (18 - 15 -3)/ (9 - 12 +3) = -3k + 1/2. 0 = -3k + 1/2. -1/2 = -3k. k = - 1/6. b) at x=0 There is a HA (on the right) in the graph because the denominator in the last function = 0 which is ... hendricks internal medicineWebSep 15, 2024 · 👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill ... hendricks insurance osakisWebMar 22, 2024 · Ex 5.1, 27 Find the values of k so that the function f is continuous at the indicated point 𝑓 (𝑥)= { (𝑘𝑥2 , 𝑖𝑓 𝑥≤ 2@3, 𝑖𝑓 𝑥>2)┤ at x = 2Given that function is continuous at 𝑥 = 2 𝑓 … hendricks insurance brokers