Respuesta :
Answer:
We have 2·(2^3) + A·(2^2) + 4·2 - 5 = 5;
Then, 2·8 + A·4 + 8 - 5 = 5;
16 + 4A + 3 = 5;
16 + 3 + 4A = 5;
19 + 4A = 5;
4A = 5 - 19;
4A = -14;
A = -14/4;
A = -7/2;
A = -3.5;
Step-by-step explanation:
The value of A is -3.5
What is function ?
A relation between a set of inputs & their outputs is called function, where each input has its own output. A function always have a domain & a co-domain. A function is generally denoted by f(x), where x is the input.
What is the required value of A ?
Given, f(x) = 2x³+Ax²+4x-5 .....(1)
Also f(2) = 5 ....(2)
Now, we have to put x=2 in (1),
f(2) = 2×(2)³+A×(2)²+4×(2)-5
Comparing this with (2) we get,
2×(2)³+A×(2)²+4×(2)-5 = 5
⇒ 2×8+4A+8-5 = 5
⇒ 16+4A+8-5 = 5
⇒ 4A+24-5 = 5
⇒ 4A+19 = 5
⇒ 4A = 5-19
⇒ 4A = -14
⇒ A = -14/4
⇒ A = -3.5
So, the value of A is -3.5
Learn more about function here :
brainly.com/question/10377915
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