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:

What is the inverse of the function {:[f(x)=-(1)/(2)(x+3)?],[f^(-1)(x)=◻]:}

What is the inverse of the function\newlinef(x)=−12(x+3)?f−1(x)=□ \begin{array}{l} f(x)=-\frac{1}{2}(x+3) ? \\ f^{-1}(x)=\square \end{array}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Identify inverse functionsright chevron icon

Full solution

Q. What is the inverse of the function\newlinef(x)=−12(x+3)?f−1(x)=□ \begin{array}{l} f(x)=-\frac{1}{2}(x+3) ? \\ f^{-1}(x)=\square \end{array}
  1. Switch Roles and Solve: To find the inverse of the function f(x)=−12(x+3)f(x) = -\frac{1}{2}(x + 3), we need to switch the roles of xx and f(x)f(x) and then solve for the new xx. Let y=f(x)y = f(x), so we have y=−12(x+3)y = -\frac{1}{2}(x + 3). Now, replace yy with xx to get x=−12(y+3)x = -\frac{1}{2}(y + 3).
  2. Replace yy with xx: Next, we need to solve for yy. Start by multiplying both sides of the equation by −2-2 to get rid of the fraction.\newline−2x=y+3-2x = y + 3
  3. Multiply by −2-2: Now, subtract 33 from both sides to isolate yy.−2x−3=y-2x - 3 = y
  4. Isolate y: Finally, we write the inverse function by replacing yy with f−1(x)f^{-1}(x).f−1(x)=−2x−3f^{-1}(x) = -2x - 3

More problems from Identify inverse functions

Question
What is the midline equation of the function\newlineh(x)=−3cos⁡(πx+2)−6? h(x)=-3 \cos (\pi x+2)-6 ? \newliney= y=
Get tutor helpright-arrow

Posted 3 months ago

Question
−2i⋅(2+6i)= -2 i \cdot(2+6 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 3 months ago

Question
(4)+(14−4i)= (4)+(14-4 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(−13+16i)−(3+4i)= (-13+16 i)-(3+4 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(−30i)+(52−30i)= (-30 i)+(52-30 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(−3+71i)+(9)= (-3+71 i)+(9)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(12)−(23+13i)= (12)-(23+13 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(7−10i)−(3+30i)= (7-10 i)-(3+30 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(70+22i)−(71+70i)= (70+22 i)-(71+70 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(21+2i)+(13+8i)= (21+2 i)+(13+8 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

View all (7)