Combining Functions

For the function f(x) and g(x) given in the graph. What does f(g(2)) equal?

• 4

• 5

• 0

• 2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

From the table below calculate the quantities asked for:
Find  $\left(f\cdot g\right)\left(1\right)$  

• 0

• -6

• 6

• 18

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

 $f\left(x\right)=x^2+1$  and  $g\left(x\right)=x+1$  Which of the following best represents  $f\left(g\left(x\right)\right)$  ?

•  $x^2+2$  

•  $x^2+2x+2$  

•  $x^2+3$  

•  $x^2+4x+4$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

For the function f(x) and g(x) given in the graph, Find the corresponding function value.

 $f\left(g\left(3\right)\right)$  

• 4

• 2

• 1

• 0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

Let f be the linear function (in blue) and let g be the parabolic function (in red).

Find  $f\left(g\left(2\right)\right)$  

• 0

• 2

• -2

• 4

Tags

CCSS.HSA.REI.C.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Let f be the linear function (in blue) and let g be the parabolic function (in red).

Find  $g\left(f\left(2\right)\right)$  

• 0

• 2

• -2

• 4

Tags

CCSS.HSA.REI.C.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Let f be the linear function (in blue) and let g be the parabolic function (in red).

Find  $\frac{f}{g}\left(2\right)$  

• 0

• 2

• 1

• Undefined

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

From the table below calculate the quantity asked for:

Find  $g\left(f\left(-2\right)\right)$  

• -4

• 5

• 6

• 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Use the given functions to evaluate the expression.

Find  $f\left(g\left(3\right)\right)$  

• 3

• -2

• 0

• -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Use the given functions to evaluate the expression.

Find  $g\left(f\left(4\right)\right)$  

• -3

• -4

• 1

• -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4