Question

Solve the linear equation f(x)=3√x+8.
a) x=−8
b) x=0
c) x=2
d) x=−1

Answer 1

To solve the linear equation f(x)=3√x+8, isolate x by subtracting 8 from both sides and then square both sides to eliminate the square root.

Step-by-step explanation:

To solve the linear equation f(x)=3√x+8, we need to isolate x.

Step 1: Subtract 8 from both sides of the equation: f(x) - 8 = 3√x

Step 2: Divide both sides of the equation by 3 to get √x alone. This gives us: √x = (f(x)-8)/3

Step 3: Square both sides of the equation to eliminate the square root: x = ((f(x)-8)/3)^2

Now you can substitute the given values of f(x) to find the solution.

For option a) x=-8, substitute x with -8 and solve the equation to check if it is a valid solution.