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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