Question

F(x)=2x³+6 and g(x)= -5x+4

Find f(-4) and g(5)​

Answer 1

Answer:-

`f( - 4) = - 122`

And

`g(5) = - 21`

Explanation:

Greetings !

For the first expression

`f(x) = 2x {}^(3) + 6`

plug in -4 at the variable x and solve the expression.

`f( - 4) = 2( - 4) {}^(3) + 6`

Follow the PEMDAS order of operations

calculate the exponents

`( - 4) {}^(3) = - 64`

Apply exponent rule

`( - a) {}^(n) = - a {}^(n) . \: if \: n \: is \: odd`

Thus,

`( - 4) {}^(3) = - 4 {}^(3) = - 64`

Multiply and divide (left to right )

`2( - 64) = - 128`

`= - 128 + 6 \\ = - 122`

Fairly follow the same. process for the second function

Hope it helps !!