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)={[(x+1)^(2)-8," for ",x!=-4],[3," for ",x=-4]:} Find f(-1) Answer:

f(x)={(x+1)2−8amp; for amp;x≠−43amp; for amp;x=−4 f(x)=\left\{\begin{array}{lll} (x+1)^{2}-8 & \text { for } & x \neq-4 \\ 3 & \text { for } & x=-4 \end{array}\right. \newlineFind f(−1) f(-1) \newlineAnswer:\newline

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Negative exponentsright chevron icon

Full solution

Q. f(x)={(x+1)2−8 for x≠−43 for x=−4 f(x)=\left\{\begin{array}{lll} (x+1)^{2}-8 & \text { for } & x \neq-4 \\ 3 & \text { for } & x=-4 \end{array}\right. \newlineFind f(−1) f(-1) \newlineAnswer:\newline
  1. Determine Part for x=−1x = -1: Determine which part of the piecewise function to use for x=−1x = -1. Since x=−1x = -1 is not equal to −4-4, we use the first part of the piecewise function: (x+1)2−8(x+1)^{2}-8.
  2. Substitute x=−1x = -1: Substitute x=−1x = -1 into the first part of the piecewise function.f(−1)=((−1+1)2−8)f(-1) = ((-1+1)^{2}-8)
  3. Simplify Expression: Simplify the expression inside the parentheses. f(−1)=(02−8)f(-1) = (0^{2}-8)
  4. Calculate Square and Subtract: Calculate the square of 00 and subtract 88. \newlinef(−1)=(0−8)f(-1) = (0-8)
  5. Find Final Answer: Simplify the expression to find the final answer. f(−1)=−8f(-1) = -8

More problems from Negative exponents

Question
Evaluate.\newline22=2^2 = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate. Write your answer as a fraction or whole number.\newline(14)4(\frac{1}{4})^4 = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Which is equal to 9−619^{-61}?
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. \newlineExpress your answer using positive exponents.\newline r5⋅r8r^5 \cdot r^8
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer using a single exponent.\newline(h2)6(h^2)^6\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer using positive exponents.\newline(9p5)(5p8)(9p^5)(5p^8)\newline_____________
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer using positive exponents.\newline(2v3)(4v)(5v)(2v^3)(4v)(5v)\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Express your answer using a single exponent.\newline(5z8)2(5z^8)^2\newline_____________
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer using positive exponents.\newliner9⋅r8⋅r-5 r^9 \cdot r^8 \cdot r^{\text{-}5} \newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Which expression is equivalent to 6×686 \times 6^8?\newlineChoices:\newline169\frac{1}{6^9}\newline686^8\newline168\frac{1}{6^8}\newline696^9
Get tutor helpright-arrow

Posted 7 months ago

View all (96)

Related topics

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