Free Printable Supplementary Test for those that missed TEST

1.

Given that

f\left(x\right)=2x^{2\ }and\ g\left(x\right)=\ x-1

f\circ g\left(x\right)=?

a)

$x^{3\ }+1$

b)

$2\left(x-1\right)^2$

c)

$x^2+x+1$

d)

$\sqrt{x+1}$

2.

$f\left(x\right)=\sqrt{x+6};\ g\left(x\right)=\ x^2\ -1\ \$ what is $g\circ f\left(x\right)?$ and its corresponding domain?

a)

$\sqrt{x}+5\ ;\ All\ real\ numbers$

b)

$\sqrt{x-1\ \ };\ x\ge2$

c)

$x+5\ ;\ \ All\ real\ numbers\$

d)

$x+5;\ \ x\ge-6$

3.

$h\left(x\right)=\sqrt{x+5}-7\ and\ \ h\left(x\right)=f\left(g\left(x\right)\right),$

which pair of functions could represent $f\left(x\right)\ and\ g\left(x\right)?$

I.

\ f\left(x\right)=\sqrt{x}\ -7\ and\ g\left(x\right)=\ x+5

II.

f\left(x\right)=\ x^2-7\ \ and\ g\left(x\right)=\sqrt{x+5}

III.

\ f\left(x\right)=x-7\ and\ \ g\left(x\right)=\sqrt{x+5}

a)

I only

b)

I and II

c)

I and III

d)

I , II and III

4.

The price of a commodity in a certain store is given by the function, $f\left(x\right)=\ 5x+13$ where x represents the pounds the commodity weighs. If $f\left(2a\right)=33$ . What is the value of $a$ ?

a)

10

b)

5

c)

6

d)

2

5.

From the graph, g(x)= f(2x). Find g(2)

a)

0

b)

2

c)

-4

d)

4

6.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +2

d)

(3x-1)(x²+2)

7.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(1)) ?

a)

1

b)

25

c)

5

d)

-5

8.

Find the equation of the inverse of the function f, given that

f\left(x\right)=\ 5x+2

a)

$f^{-1}\left(x\right)=\ 5x-2$

b)

$f^{-1}\left(x\right)=\ \frac{1}{5x+2}$

c)

$\ \ f^{-1}\left(x\right)\ =\ \ \frac{x}{5}-\frac{2}{5}$

d)

$f^{-1}\left(x\right)=\ \frac{1}{5}x+2$

9.

The a graph is a function f, f(x). The Range of the the inverse of f, $f^{-1}\left(x\right)$ is

a)

$\left(-\infty,1\right),$ which is the same as domain of f(x)

b)

$\left(-\infty,4\right)$ , which is the same as the domain of f(x)

c)

$\left(-\infty,\ 4\right)$ , which is the same as the range of f(x)

d)

(0,4] , which is not the same as domain of f(x)

10.

Which of the following functions will not have an inverse?

a)

f(x)=2x-7

b)

f(x)= 5

c)

f(x)= 7x

d)

None of the answers

Supplementary Test for those that missed TEST

Total questions: 10

Worksheet time: 28mins

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