contestada

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

Respuesta :

calculista

Answer:

Part 1) [tex]f(6)=30[/tex]

Part 2) [tex]f(4)=27[/tex]

Part 3) [tex]g(-2)=6[/tex]

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

Step-by-step explanation:

Part 1) we have

[tex]f(x)=2.50x+15[/tex]

we know that

[tex]f(6)[/tex] is the value of the function when [tex]x=6[/tex]

so

substitute the value of x in the function

[tex]f(6)=2.50(6)+15=30[/tex]

Part 2) we have

[tex]f(x)=42-3.75x[/tex]

we know that

[tex]f(4)[/tex] is the value of the function when [tex]x=4[/tex]

so

substitute the value of x in the function

[tex]f(4)=42-3.75(4)=27[/tex]

Part 3) we have

[tex]g(x)=5x+16[/tex]

we know that

[tex]g(-2)[/tex] is the value of the function when [tex]x=-2[/tex]

so

substitute the value of x in the function

[tex]g(-2)=5(-2)+16=6[/tex]

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

[tex]f(1)=6[/tex]

we know that

[tex]f(1)[/tex] is the value of the function when [tex]x=1[/tex]

so

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

[tex]f(1)=5(1)+1=6[/tex]-----> this function matches the outcome

[tex]f(1)=4(1)+2=6[/tex]-----> this function matches the outcome

[tex]f(1)=(1)^{2}+4 =5[/tex]-----> this function does not match the outcome

[tex]f(1)=2(1)+4=6[/tex]-----> this function matches the outcome

[tex]f(1)=12-2(1)=10[/tex]-----> this function does not match the outcome

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

[tex]f(2)=8[/tex]

we know that

[tex]f(2)[/tex] is the value of the function when [tex]x=2[/tex]

so

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

[tex]f(2)=5(2)+1=11[/tex]-----> this function does not match the outcome

[tex]f(2)=4(2)+2=10[/tex]-----> this function does not match the outcome

[tex]f(2)=(2)^{2}+4 =8[/tex]-----> this function matches the outcome

[tex]f(2)=2(2)+4=8[/tex]-----> this function matches the outcome

[tex]f(2)=12-2(2)=6[/tex]-----> this function does not match the outcome

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

[tex]f(3)=10[/tex]

we know that

[tex]f(3)[/tex] is the value of the function when [tex]x=3[/tex]

so

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

[tex]f(3)=5(3)+1=16[/tex]-----> this function does not match the outcome

[tex]f(3)=4(3)+2=14[/tex]-----> this function does not match the outcome

[tex]f(3)=(3)^{2}+4 =13[/tex]-----> this function does not match the outcome

[tex]f(3)=2(3)+4=10[/tex]-----> this function matches the outcome

[tex]f(3)=12-2(3)=6[/tex]-----> this function does not match the outcome

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

[tex]f(4)=12[/tex]

we know that

[tex]f(4)[/tex] is the value of the function when [tex]x=4[/tex]

so

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

[tex]f(4)=5(4)+1=21[/tex]-----> this function does not match the outcome

[tex]f(4)=4(4)+2=18[/tex]-----> this function does not match the outcome

[tex]f(4)=(4)^{2}+4 =20[/tex]-----> this function does not match the outcome

[tex]f(4)=2(4)+4=12[/tex]-----> this function matches the outcome

[tex]f(4)=12-2(4)=4[/tex]-----> this function does not match the outcome

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