Combining Functions

f(x) = x² - 2x and g(x) = 5x + 3. Then (f-g)(x) =

• x² - 7x + 3

• x² + 3x - 3

• x² + 3x + 3

• x² -7x - 3

Tags

CCSS.HSF-BF.A.1B

f(x) = 3x² - 5 and g(x) = 2x. Then (fg)(-2) =

Tags

CCSS.HSF-BF.A.1B

Find the domain of (f/g)(x) if f(x) = 1/(x+2) and

 $g\left(x\right)=\sqrt{2x-1}$  

• {x | x > 1/2}

• {x | x >= 1/2}

• {x | x not equal to -2, 1/2}

• {x | x < 1/2}

Tags

CCSS.HSF-BF.A.1B

What is the domain of (f+g)(x) if f(x) = 1/(x - 2) and

 $g\left(x\right)=\sqrt{x^2-9}$  

• {x | x >= 3}

• {x | x > 3}

• {x | x >= 3 or x <= -3, x not equal to 2}

• {x | x >= 3, x not equal to 2}

• {x | x >= 3 or x >= -3, x not equal to 2}

Tags

CCSS.HSF-BF.A.1B

 $f\left(x\right)=x^2$  and  $g\left(x\right)=2x-1$  then  $\left(f\circ g\right)\left(x\right)=$  

•  $4x^2-4x+1$  

•  $2x^2-1$  

•  $4x^2+1$  

•  $4x^2-2x+1$  

Tags

CCSS.HSF-BF.A.1C

 $f\left(x\right)=x^2$  and  $g\left(x\right)=2x-1$  then  $\left(g\circ f\right)\left(x\right)=$  

•  $4x^2-4x+1$  

•  $2x^2-1$  

•  $4x^2+1$  

•  $4x^2-2x+1$  

Tags

CCSS.HSF-BF.A.1C

 $f\left(x\right)=x^3+1$  and  $g\left(x\right)=\frac{1}{x-1}$  The domain of  $\left(g\circ f\right)\left(x\right)$  is

• {x | x not equal to 1, -1}

• {x | x not equal to 1}

• {x | x not equal to 0}

• {x | x not equal to 0,1}

Tags

CCSS.HSF-BF.A.1B

 $f\left(x\right)=x^3+1$  and  $g\left(x\right)=\frac{1}{x-1}$  Then  $\left(f\circ g\right)\left(\frac{3}{2}\right)=$  

Tags

CCSS.HSF-BF.A.1C

 $f\left(x\right)=x^3+1$  and  $g\left(x\right)=\frac{1}{x-1}$  Then  $\left(g\circ f\right)\left(3\right)=$  

Tags

CCSS.HSF-BF.A.1C