Question

Let F(x)=`x^2+3` , evaluate the following?

Ask for:
a). F(a)-1
b). F(a-1)
c).F(d+e)

Thank you

Answer 1

Refer to the explanation.

Explanation:

`a).` Evaluate `F(a)-1`

So, we have the function `F(x)=x^2+3`. If we replace the `x` with `a`, we just need to put `x=a`, and we get

`F(a)=a^2+3`

and

`F(a)-1=a^2+3-1`

`=a^2+2`

`b).` Evaluate `F(a-1)`

Same procedure, we take `x=a-1`, and we get

`F(a-1)=(a-1)^2+3`

`=a^2-2a+1+3`

`=a^2-2a+4`

`c).` Evaluate `F(d+e)`

Again, we put `x=d+e` into the function, and we get

`F(d+e)=(d+e)^2+3`

`=d^2+2de+e^2+3`