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:

{:[f(x)=-5x-9],[g(x)=2x^(2)],[g(f(0))=?]:}

f(x)=−5x−9g(x)=2x2g(f(0))=? \begin{array}{l}f(x)=-5 x-9 \\ g(x)=2 x^{2} \\ g(f(0))=?\end{array}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find higher derivatives of rational and radical functionsright chevron icon

Full solution

Q. f(x)=−5x−9g(x)=2x2g(f(0))=? \begin{array}{l}f(x)=-5 x-9 \\ g(x)=2 x^{2} \\ g(f(0))=?\end{array}
  1. Find f(0)f(0): First, we need to find f(0)f(0) by plugging 00 into the function f(x)f(x).\newlinef(0)=−5(0)−9f(0) = -5(0) - 9\newlinef(0)=−9f(0) = -9
  2. Calculate g(f(0))g(f(0)): Now we plug f(0)f(0) into g(x)g(x) to find g(f(0))g(f(0)).
    g(f(0))=g(−9)g(f(0)) = g(-9)
    g(−9)=2(−9)2g(-9) = 2(-9)^2
  3. Calculate g(−9)g(-9): Calculate the square of −9-9 and then multiply by 22.\(\newline\)(−9)2=81(-9)^2 = 81\(\newline\)2×81=1622 \times 81 = 162\(\newline\)g(−9)=162g(-9) = 162

More problems from Find higher derivatives of rational and radical functions

Question
f′(x)=12ex and f(4)=−16+12e4.f(0)= \begin{array}{l}f^{\prime}(x)=12 e^{x} \text { and } f(4)=-16+12 e^{4} . \\ f(0)=\end{array}
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve for nn.83=12nn=□\begin{array}{l}\frac{8}{3}=\frac{12}{n} \\ n=\square\end{array}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve the equation. b6=3b=□\begin{align*} \frac{b}{6} &= 3 \\ b &= \Box \end{align*}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve the equation. \begin{align*} \frac{b}{6} &= 3, \ b &= \Box \end{align*}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for nn.125=n8\frac{12}{5}=\frac{n}{8} \newline n=□n = \Box
Get tutor helpright-arrow

Posted 2 months ago

Question
The second derivative of the function f f is defined by f′′(x)=x2−5cos⁡(2x) f^{\prime \prime}(x)=x^{2}-5 \cos (2 x) for −2.5<x<3.5 -2.5<x<3.5 . Find the x x -values, if any, in the given domain where the function f f has an inflection point. You may use a calculator and round all values to 33 decimal places.\newlineAnswer: x= x=
Get tutor helpright-arrow

Posted 2 months ago

Question
f′(x)=12ex and f(4)=−16+12e4.f(0)= \begin{array}{l}f^{\prime}(x)=12 e^{x} \text { and } f(4)=-16+12 e^{4} . \\ f(0)=\end{array}
Get tutor helpright-arrow

Posted 2 months ago

Question
x2−6x+11=yx=y+1 \begin{array}{c}x^{2}-6 x+11=y \\ x=y+1\end{array}
Get tutor helpright-arrow

Posted 2 months ago

Question
=x2+4=(g+h)(x) \begin{array}{l} =x^{2}+4 \\ =(g+h)(x) \end{array} \newline99.\newlineh(x)=x2+xg(x)=3x+5 Find (h⋅g)(x) \begin{array}{l} h(x)=x^{2}+x \\ g(x)=3 x+5 \\ \text { Find }(h \cdot g)(x) \end{array}
Get tutor helpright-arrow

Posted 2 months ago

Question
Factor completely:\newline8c3+27m6 8 c^{3}+27 m^{6} \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

View all (33)