Login
Premium
Home Question Bank Math Algebra
Question
upstudy study bank question image url

Given \( f(x) \), evaluate \( f(4) \) \( f(x)=2 x^{2}-6 x+17 \) \( f(4)=[?] \)

Ask by Smith Ingram. in the United States
Feb 04,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( f(4) = 25 \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Bonus Knowledge

To evaluate \( f(4) \), we substitute \( x = 4 \) into the function \( f(x) = 2x^{2} - 6x + 17 \): \[ f(4) = 2(4)^{2} - 6(4) + 17 \] Calculating \( (4)^{2} \): \[ (4)^{2} = 16 \quad \Rightarrow \quad 2 \cdot 16 = 32 \] Now calculating \( 6(4) \): \[ 6(4) = 24 \] Putting it all together: \[ f(4) = 32 - 24 + 17 \] \[ f(4) = 32 - 24 = 8 \] \[ f(4) = 8 + 17 = 25 \] Thus, \( f(4) = 25 \).

Related Questions

1. Stay whether the function is a polynomial or not. If it is, write it in standard form. \( \begin{array}{ll}\text { a) } f(x)^{5} 7 \\ \text { c) } f(x)=9 x+5 x^{3}-6 x^{2}+2 & \text { b) } h(x)=3 x^{4}+2 x-\frac{5}{x}+9 x^{3}-7 \\ \text { e) } p(x)=\frac{1}{2} x^{2}+3 x-4 x^{3}+6 x^{2}-1 & \text { d) } g(x)=\sqrt{3}-12 x+13 x^{2} \\ \text { f) } h(x)=\frac{5}{3} x^{2}-\sqrt{7} x^{4}+8 x^{3}-\frac{1}{2}+x\end{array} \)
Algebra United States Feb 04, 2025
(2) \( \frac{25-2 x+1 \times 5 \frac{x}{2}}{125 x-1}=1 \)
Algebra South Africa Feb 04, 2025
Matrices \( C \) and \( D \) are given by: \[ C=\left(\begin{array}{ccc}-2 & 1 & 2 \\ 1 & -1 & 0 \\ 1 & 0 & -1\end{array}\right) \text { and } D=\left(\begin{array}{ccc}1 & 1 & 2 \\ k+3 & 0 & 2 \\ 1 & 1 & 1\end{array}\right) \text {, where } k \in \mathbb{R} \text {. } \] \( \begin{array}{ll}\text { (a) Obtain } 2 C^{\prime}-D \text { where } C^{\prime} \text { is the transpose of } C . \\ \text { (b) } & \text { (i) Find and simplify an expression for the determinant of } D . \\ \text { (ii) State the value of } k \text { such that } D^{-1} \text { does not exist. }\end{array} \)
Algebra United Kingdom Feb 04, 2025
Let \( A=\left(\begin{array}{ccc}2 & 2 & -4 \\ -4 & 2 & -4 \\ 2 & -1 & 5\end{array}\right) \) and \( B=\left(\begin{array}{ccc}1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 & 1 & 2\end{array}\right) \) Show that \( A B=k I \) for some real number \( k \). Hence obtain the matrix \( A^{2} B \).
Algebra United Kingdom Feb 04, 2025
d) \( 5 x+2 y=20 \)
Algebra Serbia Feb 04, 2025

Latest Algebra Questions

Matrices \( C \) and \( D \) are given by: \[ C=\left(\begin{array}{ccc}-2 & 1 & 2 \\ 1 & -1 & 0 \\ 1 & 0 & -1\end{array}\right) \text { and } D=\left(\begin{array}{ccc}1 & 1 & 2 \\ k+3 & 0 & 2 \\ 1 & 1 & 1\end{array}\right) \text {, where } k \in \mathbb{R} \text {. } \] \( \begin{array}{ll}\text { (a) Obtain } 2 C^{\prime}-D \text { where } C^{\prime} \text { is the transpose of } C . \\ \text { (b) } & \text { (i) Find and simplify an expression for the determinant of } D . \\ \text { (ii) State the value of } k \text { such that } D^{-1} \text { does not exist. }\end{array} \)
Algebra United Kingdom Feb 04, 2025
2. Which product below is equivalent to the fraction \( \frac{20 n^{5}}{35 n^{2}} \) ? \( \begin{array}{ll}\text { (1) } \frac{5 n^{5}}{5 n^{5}} \cdot \frac{4}{7 n^{3}} & \text { (3) } \frac{10 n^{2}}{10 n^{2}} \cdot \frac{2 n^{3}}{25} \\ \text { (2) } \frac{10 n}{10 n} \cdot \frac{2 n^{4}}{25 n} & \text { (4) } \frac{5 n^{2}}{5 n^{2}} \cdot \frac{4 n^{3}}{7}\end{array} \)
Algebra United States Feb 04, 2025
c) \( x-5 y=20 \)
Algebra Serbia Feb 04, 2025
Let \( A=\left(\begin{array}{ccc}2 & 2 & -4 \\ -4 & 2 & -4 \\ 2 & -1 & 5\end{array}\right) \) and \( B=\left(\begin{array}{ccc}1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 & 1 & 2\end{array}\right) \) Show that \( A B=k I \) for some real number \( k \). Hence obtain the matrix \( A^{2} B \).
Algebra United Kingdom Feb 04, 2025
9. Consider the function \( f(x)=18(3)^{-1} \). When the value of \( x \) is increased by 1 , the output is (1) multiplied by 3 (2) divided by 3 (3) multiplied by -3 (4) divided by -3
Algebra United States Feb 04, 2025
Prev Next
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy