Question

2. Evaluate f(a + b) where fx) = 4x2 - 5x + 3.​

Answer 1

Given: The equation is$f(x) = 4x^2 - 5x + 3$

We have to find the value of$f(a+b)$.

For this, we will put the value of$x$ is$a+b$.

And then we will simplify the equation.

We are solving in the following way:

We have,

The equation is$f(x) = 4x^2 - 5x + 3$

putting the value of$x$ in the above equation:

$=>f(a+b)=4(a+b)^2-5(a+b)+3\\=>f(a+b)=4(a^2+2ab+b^2)-5a-5b+3\\=>f(a+b) =4a^2+8ab+4b^2-5a-5b+3$

Hence, the value of the $f(a+b)$is$4a^2+8ab+4b^2-5a-5b+3$.