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Anni [7]
3 years ago
11

F(x) = 4x – 9 Find f(6) elauating functions

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0
The answer would be f (6)= 15
Luba_88 [7]3 years ago
5 0

Answer:

f(6)=15

Step-by-step explanation:

  • Just put 6 in place of x in the equation and solve
  • f(x)=4x-9\\f(6)=4(6)-9\\f(6)=24-9\\f(6)=15
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4 years ago
According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18. Which is an actual root of
emmainna [20.7K]

Answer: The correct option is third, i.e., -\frac{1}{4}.

Explanation:

The given function is,

f(x)=60x^2-57x-18

The Rational Root Theorem states that the rational roots are in the form of,

r=\frac{\text{factors of constant term}}{\text{factor of leading coefficient}}

These rational roots are possible rational roots not the actual roots of f(x).

For actual roots of f(x), the value of the function is 0.

Put each value of x from the option in the function, if we get the value of f(x) is 0, then that value is the actual root of f(x).

Put x=3.

f(3)=60(3)^2-57(3)-18=351\neq 0

Put x=6

f(6)=60(6)^2-57(6)-18=1800\neq 0

Put x=-\frac{1}{4}

f(-\frac{1}{4})=60(-\frac{1}{4})^2-57(-\frac{1}{4})-18=0

Put x=-\frac{6}{5}

f(-\frac{6}{5})=60(-\frac{6}{5})^2-57(-\frac{6}{5})-18=136.8\neq 0

Only for x=-\frac{1}{4} the value of function is 0, therefore the correct option is third.

7 0
4 years ago
Read 2 more answers
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