Free Printable Combining Functions

1.

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

a)

x² - 7x + 3

b)

x² + 3x - 3

c)

x² + 3x + 3

d)

x² -7x - 3

2.

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

(a)

3.

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

g\left(x\right)=\sqrt{2x-1}

a)

{x | x > 1/2}

b)

{x | x >= 1/2}

c)

{x | x not equal to -2, 1/2}

d)

{x | x < 1/2}

4.

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

g\left(x\right)=\sqrt{x^2-9}

a)

{x | x >= 3}

b)

{x | x > 3}

c)

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

d)

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

e)

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

5.

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

a)

$4x^2-4x+1$

b)

$2x^2-1$

c)

$4x^2+1$

d)

$4x^2-2x+1$

6.

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

a)

$4x^2-4x+1$

b)

$2x^2-1$

c)

$4x^2+1$

d)

$4x^2-2x+1$

7.

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

a)

{x | x not equal to 1, -1}

b)

{x | x not equal to 1}

c)

{x | x not equal to 0}

d)

{x | x not equal to 0,1}

8.

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

(a)

9.

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

(a)

Combining Functions

Total questions: 9

Worksheet time: 6mins

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