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Given h(x)=4x+3, solve for x when h(x)=-5. Answer:

Given h(x)=4x+3 h(x)=4 x+3 , solve for x x when h(x)=−5 h(x)=-5 .\newlineAnswer:

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Full solution

Q. Given h(x)=4x+3 h(x)=4 x+3 , solve for x x when h(x)=−5 h(x)=-5 .\newlineAnswer:
  1. Write Function and Value: Write down the given function and the value for h(x)h(x). We are given h(x)=4x+3h(x) = 4x + 3 and we need to find xx when h(x)=−5h(x) = -5.
  2. Substitute in Equation: Substitute −5-5 for h(x)h(x) in the equation.−5=4x+3-5 = 4x + 3
  3. Solve for x: Solve for x.\newlineFirst, subtract 33 from both sides of the equation to isolate the term with xx.\newline−5−3=4x+3−3-5 - 3 = 4x + 3 - 3\newline−8=4x-8 = 4x
  4. Divide to Find x: Divide both sides of the equation by 44 to solve for x.\newline−8/4=4x/4-8 / 4 = 4x / 4\newline−2=x-2 = x

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