f ( x ) = − 3 x − 6 f\left(x\right)\ =\ -3x-6 f ( x ) = − 3 x − 6 and g ( x ) = 5 x + 2. g\left(x\right)\ =\ 5x\ +2. g ( x ) = 5 x + 2 . Find f ( x ) + g ( x ) . f\left(x\right)\ +\ g\left(x\right). f ( x ) + g ( x ) . Let

− 8 x − 8 -8x-8 − 8 x − 8

− 8 x − 4 -8x-4 − 8 x − 4

L e t f ( x ) = 4 + 5 x a n d g ( x ) = 2 x − 1 Let\ f\left(x\right)=\ 4+5x\ and\ g\left(x\right)\ =\ 2x-1 L e t f ( x ) = 4 + 5 x a n d g ( x ) = 2 x − 1 Find f ( g ( x ) ) a n d g ( f ( x ) ) . f\left(g\left(x\right)\right)\ and\ g\left(f\left(x\right)\right). f ( g ( x ) ) a n d g ( f ( x ) ) .

f ( g ( x ) ) = 10 x − 1 ; g ( f ( x ) ) = 10 x + 7 f\left(g\left(x\right)\right)=10x-1;\ g\left(f\left(x\right)\right)=10x+7 f ( g ( x ) ) = 1 0 x − 1 ; g ( f ( x ) ) = 1 0 x + 7

f ( g ( x ) ) = 7 x + 3 ; g ( f ( x ) ) = 10 x + 7 f\left(g\left(x\right)\right)=7x+3;\ g\left(f\left(x\right)\right)=10x+7 f ( g ( x ) ) = 7 x + 3 ; g ( f ( x ) ) = 1 0 x + 7

f ( g ( x ) ) = − 7 x − 3 ; g ( f ( x ) ) = − 10 x + 7 f\left(g\left(x\right)\right)=-7x-3;\ g\left(f\left(x\right)\right)=-10x+7 f ( g ( x ) ) = − 7 x − 3 ; g ( f ( x ) ) = − 1 0 x + 7

f ( g ( x ) ) = − 10 x − 7 ; g ( f ( x ) ) = 7 x + 3 f\left(g\left(x\right)\right)=-10x-7;\ g\left(f\left(x\right)\right)=7x+3 f ( g ( x ) ) = − 1 0 x − 7 ; g ( f ( x ) ) = 7 x + 3

F i n d t h e i n v e r s e o f f ( x ) = x + 1 \ Find\ the\ inverse\ of\ f\left(x\right)=x+1 F i n d t h e i n v e r s e o f f ( x ) = x + 1

f − 1 ( x ) = x − 1 f^{-1}\left(x\right)\ =\ x\ -1\ f − 1 ( x ) = x − 1

f − 1 ( x ) = x + 1 f^{-1}\left(x\right)\ =\ x+1 f − 1 ( x ) = x + 1

f − 1 ( x ) = − x − 1 f^{-1}\left(x\right)=-x-1 f − 1 ( x ) = − x − 1

f − 1 ( x ) = 2 x + 2 f^{-1}\left(x\right)=2x+2 f − 1 ( x ) = 2 x + 2

What is the solution set of 8 ( 2 x − 1 ) ≤ 1 6 x ? 8^{\left(2x-1\right)}\le\ 16^x\ ? 8 ( 2 x − 1 ) ≤ 1 6 x ?

x ≤ 3 2 x\le\frac{3}{2} x ≤ 2 3

x ≤ 2 3 x\le\ \frac{2}{3} x ≤ 3 2

Which one has a graph same as that of y = 3 x y\ =\ 3^x y = 3 x but all points of which are moved 4 units above the given graph?

y = 3 x + 4 y\ =\ 3^x\ +\ 4 y = 3 x + 4

y = 3 − x + 4 y\ =\ 3^{-x}\ +\ 4 y = 3 − x + 4

y = 3 ( x + 4 ) y\ =\ 3^{\left(x+4\right)} y = 3 ( x + 4 )

y = 3 ( − x + 4 ) y\ =\ 3^{\left(-x+4\right)} y = 3 ( − x + 4 )

Mrs. Ramos invested Php 25,000 in a mutual fund for his children's college education at 0.2% compounded semi-annually. Which of the following gives the amount of his investment after 10 years?

y = 25000 ( 1.001 ) 20 y=\ 25000\left(1.001\right)^{20} y = 2 5 0 0 0 ( 1 . 0 0 1 ) 2 0

y = 25000 ( 1.02 ) 10 y\ =\ 25000\left(1.02\right)^{10} y = 2 5 0 0 0 ( 1 . 0 2 ) 1 0

y = 25000 ( 1.02 ) 20 y=25000\left(1.02\right)^{20} y = 2 5 0 0 0 ( 1 . 0 2 ) 2 0

y = 25000 ( 1.0001 ) 20 y=25000\left(1.0001\right)^{20} y = 2 5 0 0 0 ( 1 . 0 0 0 1 ) 2 0

p: Rafael is a singer q: Janrick plays a piano Which of the following is the translation of ∼ p ∨ ∼ q ? \sim p\ \vee\ \sim q? ∼ p ∨ ∼ q ?

Rafael is not a singer or Janrick can’t play the piano.

Rafael is not a singer and Janrick plays the piano.

Either Rafael is not a singer or Janrick plays the piano.

“It is not true that Rafael is a singer or Janrick plays the piano”. Which of the following is the correct proposition?

∼ ( p ∨ q ) \sim\left(p\vee q\right) ∼ ( p ∨ q )

∼ p ∨ ∼ q \sim p\vee\sim q ∼ p ∨ ∼ q

∼ p ∨ q \sim p\vee q ∼ p ∨ q

∼ ( p ∨ ∼ q ) \sim\left(p\vee\sim q\right) ∼ ( p ∨ ∼ q )

What is the negation statement of “All scientists are mathematicians”

No scientists are mathematicians

No mathematicians are scientists.

Some scientists are mathematicians.

A. Some scientists are not mathematicians.

DIAGNOSTIC TEST GENERAL MATHEMATICS

Authored by Mylene Palattao

Mathematics

11th Grade

Used 33+ times

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40 questions

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MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Examine the following sets of ordered pairs. Which one represents a one-to-one relation?

$\left(1,-1\right),\ \left(1,1\right),\ \left(2,4\right),\ \left(2,\ 6\right)$

$\left(2,0\right),\ \left(3,1\right),\ \left(2,1\right),\ \left(4,-3\right)$

$\left(-2,\ 3\right),\ \left(-1,1\right),\ \left(0,0\right),\ \left(2,1\right)$

$\left(-1,-1\right),\ \left(1,1\right),\left(2,3\right),\left(4,5\right)$

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Which of the following equation is not a function?

$f\left(x\right)\ =\ 2x\ -3$

$f\left(x\right)\ =\ \sqrt{x}$

$y^2=2x$

$y\ =\ \frac{x\ -\ 3}{x\ +\ 1}$

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Using $f\left(x\right)\ =\ x\ -2\$ and $g\left(x\right)\ =\ 5x\ +\ 3,$ find $f\left(g\left(2\right)\right)?$

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

$f\left(x\right)\ =\ -3x-6$ and $g\left(x\right)\ =\ 5x\ +2.$ Find $f\left(x\right)\ +\ g\left(x\right).$
Let

$2x-4$

$-8x-8$

$-8x-4$

$2x-8$

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Let
$f\left(x\right)\ =3x\ +\ 2\$ and $g\left(x\right)\ =\ x-3.$ Find $f\left(x\right)\ -g\left(x\right).$

$2x-5$

$2x+5$

$4x-1$

$2x-1$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Let\ f\left(x\right)\ =x^2\ +2x-1$ and $g\left(x\right)=2x-4$
Find $2\left(f\left(x\right)\right)-3\left(g\left(x\right)\right)$

$2x^2-2x-14$

$2x^2-2x+10$

$-3x^2-2x-1$

$-3x^2-2x-7$

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

$f\left(x\right)=5x^2-7x+3\ and\ g\left(x\right)=\ 4x\ +\ 9.\$
Given the following functions. Evaluate $\left(f\circ\ g\right)\left(x\right)?$

$-8x-15$

$30x^2+332x+345$

$80x^2+332x+345$

$80x^2+152x+345$

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

$If\ f\left(x\right)\ =\ 5x^2-7x+3\ and\ g\left(x\right)\ =4x\ +9$
Evaluate $\left(f+g\right)\left(x\right)?$

$5x^2-11x+12$

$5x^2+3x+12$

$5x^2-3x+12$

$5x^2-2x+12$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Let\ f\left(x\right)\ =3x+2\ and\ g\left(x\right)=7x+6$
Find $f\left(x\right)\ \cdot\ g\left(x\right)$ and its domain.

$6x^2+4x+42;\$ all real numbers except $x=-\frac{2}{3}$

$6x^2+4x+42;$ all real numbers

$21x^2+32x+12;$ all real numbers

$21x^2+32x+12;$ all real numbers except $x=-\frac{6}{7}$

10.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

$Let\ f\left(x\right)=3x-6\ and\ g\left(x\right)=x-2.\ Find\ \frac{f\left(x\right)}{g\left(x\right)}$ and its domain.

3; all real numbers

3; all real numbers except x=2

1; all real numbers

-3; all real numbers except x = 3

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DIAGNOSTIC TEST GENERAL MATHEMATICS

Examine the following sets of ordered pairs. Which one represents a one-to-one relation?

Which of the following equation is not a function?

Using f(x) = x −2 f\left(x\right)\ =\ x\ -2\ f(x) = x −2 and g(x) = 5x + 3,g\left(x\right)\ =\ 5x\ +\ 3,g(x) = 5x + 3, find f(g(2))?f\left(g\left(2\right)\right)?f(g(2))?

f(x) = −3x−6f\left(x\right)\ =\ -3x-6f(x) = −3x−6 and g(x) = 5x +2.g\left(x\right)\ =\ 5x\ +2.g(x) = 5x +2. Find f(x) + g(x).f\left(x\right)\ +\ g\left(x\right).f(x) + g(x). Let

Let f(x) =3x + 2 f\left(x\right)\ =3x\ +\ 2\ f(x) =3x + 2 and g(x) = x−3.g\left(x\right)\ =\ x-3.g(x) = x−3. Find f(x) −g(x).f\left(x\right)\ -g\left(x\right).f(x) −g(x).

Let f(x) =x2 +2x−1Let\ f\left(x\right)\ =x^2\ +2x-1Let f(x) =x2 +2x−1 and g(x)=2x−4g\left(x\right)=2x-4g(x)=2x−4 Find 2(f(x))−3(g(x))2\left(f\left(x\right)\right)-3\left(g\left(x\right)\right)2(f(x))−3(g(x))

f(x)=5x2−7x+3 and g(x)= 4x + 9. f\left(x\right)=5x^2-7x+3\ and\ g\left(x\right)=\ 4x\ +\ 9.\ f(x)=5x2−7x+3 and g(x)= 4x + 9. Given the following functions. Evaluate (f∘ g)(x)?\left(f\circ\ g\right)\left(x\right)?(f∘ g)(x)?

If f(x) = 5x2−7x+3 and g(x) =4x +9If\ f\left(x\right)\ =\ 5x^2-7x+3\ and\ g\left(x\right)\ =4x\ +9If f(x) = 5x2−7x+3 and g(x) =4x +9 Evaluate (f+g)(x)?\left(f+g\right)\left(x\right)?(f+g)(x)?

Let f(x) =3x+2 and g(x)=7x+6Let\ f\left(x\right)\ =3x+2\ and\ g\left(x\right)=7x+6Let f(x) =3x+2 and g(x)=7x+6 Find f(x) ⋅ g(x)f\left(x\right)\ \cdot\ g\left(x\right)f(x) ⋅ g(x) and its domain.

Let f(x)=3x−6 and g(x)=x−2. Find f(x)g(x)Let\ f\left(x\right)=3x-6\ and\ g\left(x\right)=x-2.\ Find\ \frac{f\left(x\right)}{g\left(x\right)}Let f(x)=3x−6 and g(x)=x−2. Find g(x)f(x)​ and its domain.

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Using $f\left(x\right)\ =\ x\ -2\$ and $g\left(x\right)\ =\ 5x\ +\ 3,$ find $f\left(g\left(2\right)\right)?$

$f\left(x\right)\ =\ -3x-6$ and $g\left(x\right)\ =\ 5x\ +2.$ Find $f\left(x\right)\ +\ g\left(x\right).$
Let

Let
$f\left(x\right)\ =3x\ +\ 2\$ and $g\left(x\right)\ =\ x-3.$ Find $f\left(x\right)\ -g\left(x\right).$

$Let\ f\left(x\right)\ =x^2\ +2x-1$ and $g\left(x\right)=2x-4$
Find $2\left(f\left(x\right)\right)-3\left(g\left(x\right)\right)$

$f\left(x\right)=5x^2-7x+3\ and\ g\left(x\right)=\ 4x\ +\ 9.\$
Given the following functions. Evaluate $\left(f\circ\ g\right)\left(x\right)?$

$If\ f\left(x\right)\ =\ 5x^2-7x+3\ and\ g\left(x\right)\ =4x\ +9$
Evaluate $\left(f+g\right)\left(x\right)?$

$Let\ f\left(x\right)\ =3x+2\ and\ g\left(x\right)=7x+6$
Find $f\left(x\right)\ \cdot\ g\left(x\right)$ and its domain.

$Let\ f\left(x\right)=3x-6\ and\ g\left(x\right)=x-2.\ Find\ \frac{f\left(x\right)}{g\left(x\right)}$ and its domain.