Given f(x) = 4x4 + 5x3 – 15x2 – 45, find f(–3). a) f(–3) = 3 b) f(–3) = 6 c) f(–3) = 9 d) f(–3) = 12

C)  

f(–3) = 9

Step-by-step explanation:

Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45

f(-3) means let x = -3

f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45

       =4(81) +5(-27) -15(9) -45

        = 324 - 135 - 135 -45

           =9

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

the first option is the answer.