Question

Evaluate the function.

a. f(x) = 3x+5 {-2,0,2}

b. g(x) = x-9 find g(5)

c. f(n) = (3-n) + 4 {-1,-2,3}

Answer 1

Part a) The values of the function f(x) are {-1,5,11}

Part b) The value of g(5) is -4

Part c) The values of the function f(n) are {8,9,4}

Explanation:

Part a) we have

f(x)=3x+5

Evaluate for {-2,0,2}

1) For x=-2

substitute the value of x in the function

f(-2)=3(-2)+5=-1

2) For x=0

substitute the value of x in the function

f(0)=3(0)+5=5

3) For x=2

substitute the value of x in the function

f(2)=3(2)+5=11

Part b) we have

g(x)=x-9

Evaluate for x=5

substitute the value of x in the function

g(5)=5-9=-4

Part c) we have

f(n)=(3-n)+4

Evaluate for {-1,-2,3}

1) For n=-1

substitute the value of n in the function

f(-1)=(3-(-1))+4=8

2) For n=-2

substitute the value of n in the function

f(-2)=(3-(-2))+4=9

3) For n=3

substitute the value of n in the function

f(3)=(3-(3))+4=4