solve-the-given-problems-find-fx-if-fprimex4-x-5-and-f-110

Question

Solve the given problems.
Find $f(x)$ if $f^{\prime}(x)=4 x-5$ and $f(-1)=10$.

Jasper Baltz · Accepted Answer

All right. So here we have a function f of X equals 10 x minus X squared, and we&#x27;re being asked to find what effort five is. So all we need do is plug in five. An easy way to kind of remember how to do that is that that X got replaced with the five. So we should replace all of the exits with fives. Remember that this is not 105 because when we say 10 X, we actually mean 10 times X, it&#x27;s gonna be 10 times five. And we&#x27;re denoting multiplication with that little dot now instead of an ex because we&#x27;re using variables. So it gets a little bit confusing if we have an ex meaning of variable. And we have ex meaning multiplication. So we have 10 times five minus five squared. We know 10 times five is 50 and five squared is 25. So 50 minus 25 is equal to 25 so f of five equals 25

Jasper Baltz · Answer

So you were given a function f of x equals two X plus three or being asked to find why F five is so do that. All we need to do is plug in five and sometimes a way that makes a little bit more sense is they replaced this X with the five right there. So we should probably replace all of the other exes with fives as well. Remember, we don&#x27;t just write 25. We can&#x27;t just do that. When we say to X, we means to times X since we actually two times five, which we know with the dot or with the X if you really want to. But now we have X is a variable. We usually start writing multiplication just with a little dot right there and then plus three. And then we need to remember to do a word of operations of multiplication. First gives us two time side is 10 plus three. So our final answers 13. All we need to do is bring it down. Like that effort five equals 13

Amy Jiang · Answer

Okay, so we want to find the inverse of the following function. So it&#x27;s first. We rights are after back. Speak with why and now let&#x27;s well or Exeter white. And now we want to solve for why So let&#x27;s subtract five remove sites. Do we get why is equal to a X minus five and then we can get our why, as a inverse of X is equal to X minus five.

Amy Jiang · Answer

Okay, so we want to find our inverse function. So it&#x27;s thereby setting off our backs to be able to Why? And then we want to swap our exes on our wise and then sold for Why? Who have actually could to why, plus 3/5. I heard at the Why now? Okay, now let&#x27;s multiply both sides by a five. Why? What&#x27;s for? So what do we get? We get a five x y plus a four x is equal to a to wine put three and we want to solve for why? So I&#x27;m gonna move, or why is to one side and then I&#x27;m gonna move, or Constance to her left hand side or other terms. Besides, what? OK, so we got four X minus three is equal to a um, there should be a times that. Plus, do we get a to wine plus a five x y? And now let&#x27;s factor out that why? To get to plus five x times why silicon vied both sides by two plus five x to solve for our wine hit that we get that F inverse of X is equal to a four x minus 3/2 plus five x

Cory Kuzinski · Answer

So when they tell us that the F of X is to expose four and they want to know every value of acts that would make effort backs equal to 10. The recently just saying, When is this expression equal to 10? Okay, so solve that equation and we do that by writing to new equations to expose. Four could be negative. 10 or two X plus four could be positive. So solve these two equations and we&#x27;ll have the answer to that original question. Let&#x27;s subtract four from both sides, so excuse evil. Negative seven. After we divide both sides, but to and then here will subtract four from both sides and then divide both sides by two, and we see that X could equal three. So if X is negative seven or vexes three than the value of F of axe would be 10.

Problem

Solve the given problems. Find $f(x)$ if $f^{\pri…

Problem 49 Easy Difficulty

Solve the given problems.
Find $f(x)$ if $f^{\prime}(x)=4 x-5$ and $f(-1)=10$.

Answer

$f(x)=2 x^{2}-5 x+3$

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Allyn J. Washington, Richard S. Evans

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$f(x)=2 x^{2}-5 x+3$

Basic Technical Mathematics with Calculus

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

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