Question

the function g is defined by $g(x)=x^2 - 2$. find $g(5z)$. $g(5z)=\square$

Explanation:

Step1: Substitute $x=5z$ into $g(x)$

$g(5z)=(5z)^2 - 2$

Step2: Expand the squared term

$(5z)^2 = 5^2 \cdot z^2 = 25z^2$

Step3: Simplify the expression

$g(5z)=25z^2 - 2$

Answer:

$25z^2 - 2$