Question

1. What is the value of the function f(x)=2x+1 if x=1.5?
a. 4
b. 26
c. 31
d. 3.5

2. What is the value of f+g of the function f(x) = 2x²-5x+3 and g(x)=x+3?
a. 2x²-6x+9
b. 2x³+6
c.2x²-4x+6
d. 2x⁴+6

3. What is the value of 1-g of the funcion f(x) = 2x²-5x+3 and g(x)=x+3?
a. 2x²-6x
b. 2x³+6
c.2x²-4x+6
d. 2x⁴+6

4. In the rational function f(x)=1
x+5¹ what is the value of x that makes it not defined?
a. 5
b. -5
c. 0
d. 1

5. In the rabonal funcion f(x)=x²-9
x+2
what is the value of x where the vertical asymptote starts?
a. 0
b. 1
c. 2
d.-2

6.What do you call the form
f (x) =p(x)
g(x)
where p(x) and g(x) are polynomials and g(x) is not equal to zero function?
a. Rational Function
b. Rational inequity
c. Rational Equation
d. Rational Expression

7. What is the composite function using f ⁰ g, where f(x) = 2x² + 3x + 1 and g(x) = x +1?
a. 2x² - 7x + 6
b. 2x²+ 6x + 7
c. 2x²+7 + 6
d. 2x² - 6x + 7

8. Evaluate the rational equation, 3x-8
x+3 = 1?
a. 2
b. 3
c. 4
d. 5

9. What is the inequality that holds true, where the rational inequality is 3x-1
x-3 >5?
a. 3<x<7
b. 2<x<7
c. 3>x>7
d 4>x>7

10. Given f(x) = 2x - 3; D = {0, 1,2,3}
Find the range.
a. {-3,-1, 1, 6}
b. {-3,-1, 1, 5}
c. {-3,-1, 1, 4}
d. (-3,-1, 1, 3}

11. Given f(x) = 1-x² and g(x) = 1-2x.
Find (g(2)).
а. -4
b. -8
c. -6
d. -10

12. What do you call the expression that can be written as a ratio of two polynomials?
a. Rational Function
b. Rational Inequality
c. Rational Equation
d. Rational Expression
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Answer 1

Answer:

first 31 this answer will 31

Answer 2

Answer: 1. The correct answer is (a) 4.  2.The correct answer is (c) 2x²-4x+6 . 6. The correct answer is (a) Rational Function.  10. The correct answer is (d) (-3,-1,1,3)

Step-by-step explanation:    

1. f(x) = 2(1.5) + 1  ⇒f(x)=4

     The correct option is (a).

2. f(x)=2x²-5x+3  , g(X) = x+3

       f(x) + g(x)

    2x²-5x+3+x+3 ⇒2x²-4x+6

     The correct option is (c).

6. Rational Function is a function which can be written as the ratio of two polynomials such that denominator is not equal to zero.

        The correct option is (a).

10.f(x) = 2x-3 , D= {0,1,2,3}

     f(x) = 2(0)-3 = -3

     f(x) = 2(1)-3 = 2-3 =-1

      f(x) =2(2)-3 = 4-3 = 1

     f(x) = 2( 3) -3 = 6-3 =3

    The correct option is (d)