Evaluate (do not use a calculator): 4 log 1000

Write an appropriate equation: “M varies directly as the square of r and inversely as the square of s.”

Give the domain of the function fx=xx2-4{“version”:”1.1″,”math”:”<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfrac><mi>x</mi><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac></math>”}                    

If f(x) = x2 + 2 and g(x) = 3x + 4, then (f o g)(x) = 

Give the domain of the function fx=xx2-4{“version”:”1.1″,”math”:”<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfrac><mi>x</mi><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac></math>”}                    

If f(x) = x2 + 2 and g(x) = 3x + 4, then (f o g)(x) = 

log b xy=log b x+log b y{“version”:”1.1″,”math”:”log b xy=log b x+log b y”}

Simplify: 1-32xx-94x{“version”:”1.1″,”math”:”<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>1</mn><mo>-</mo><mstyle displaystyle="true"><mfrac><mn>3</mn><mrow><mn>2</mn><mi>x</mi></mrow></mfrac></mstyle></mrow><mrow><mi>x</mi><mo>-</mo><mstyle displaystyle="true"><mfrac><mn>9</mn><mrow><mn>4</mn><mi>x</mi></mrow></mfrac></mstyle></mrow></mfrac></math>”}

Solve: 3x + 8 ≤ 5x + 12

Every polynomial of degree 4 has exactly 3 turning points.