Question

If: f(x) = 2.50x + 15; then: f(6) =

If f(x) = 42 - 3.75x; then f(4) =
g(x) = 6 - x; then g(-4) =
If g(x) = 5x + 16; then g(-2) =
Which of the following functions match these outcomes:

f(1) = 6

f(2) = 8

f(3) = 10

f(4) = 12
f(x) = 5x + 1
f(x) = 4x + 2
f(x) = x2 + 4
f(x) = 2x + 4
f(x) = 12 - 2x

Answer 1

Part 1)
`f(6)=30`

Part 2)
`f(4)=27`

Part 3)
`g(-2)=6`

Part 4) Part 5) Part 6) and part 7) in the procedure

Explanation:

Part 1) we have

`f(x)=2.50x+15`

we know that

`f(6)` is the value of the function when
`x=6`

so

substitute the value of x in the function

`f(6)=2.50(6)+15=30`

Part 2) we have

`f(x)=42-3.75x`

we know that

`f(4)` is the value of the function when
`x=4`

so

substitute the value of x in the function

`f(4)=42-3.75(4)=27`

Part 3) we have

`g(x)=5x+16`

we know that

`g(-2)` is the value of the function when
`x=-2`

so

substitute the value of x in the function

`g(-2)=5(-2)+16=6`

Part 4) Which of the following functions match these outcomes:

`f(1)=6`

we know that

`f(1)` is the value of the function when
`x=1`

so

substitute the value of x in each of the functions and then compare

`f(1)=5(1)+1=6`-----> this function matches the outcome

`f(1)=4(1)+2=6`-----> this function matches the outcome

`f(1)=(1)^(2)+4 =5`-----> this function does not match the outcome

`f(1)=2(1)+4=6`-----> this function matches the outcome

`f(1)=12-2(1)=10`-----> this function does not match the outcome

Part 5) Which of the following functions match these outcomes:

`f(2)=8`

we know that

`f(2)` is the value of the function when
`x=2`

so

substitute the value of x in each of the functions and then compare

`f(2)=5(2)+1=11`-----> this function does not match the outcome

`f(2)=4(2)+2=10`-----> this function does not match the outcome

`f(2)=(2)^(2)+4 =8`-----> this function matches the outcome

`f(2)=2(2)+4=8`-----> this function matches the outcome

`f(2)=12-2(2)=6`-----> this function does not match the outcome

Part 6) Which of the following functions match these outcomes:

`f(3)=10`

we know that

`f(3)` is the value of the function when
`x=3`

so

substitute the value of x in each of the functions and then compare

`f(3)=5(3)+1=16`-----> this function does not match the outcome

`f(3)=4(3)+2=14`-----> this function does not match the outcome

`f(3)=(3)^(2)+4 =13`-----> this function does not match the outcome

`f(3)=2(3)+4=10`-----> this function matches the outcome

`f(3)=12-2(3)=6`-----> this function does not match the outcome

Part 7) Which of the following functions match these outcomes:

`f(4)=12`

we know that

`f(4)` is the value of the function when
`x=4`

so

substitute the value of x in each of the functions and then compare

`f(4)=5(4)+1=21`-----> this function does not match the outcome

`f(4)=4(4)+2=18`-----> this function does not match the outcome

`f(4)=(4)^(2)+4 =20`-----> this function does not match the outcome

`f(4)=2(4)+4=12`-----> this function matches the outcome

`f(4)=12-2(4)=4`-----> this function does not match the outcome