Question

question let h(x)=f(x)-g(x). if f(x)=9x² and g(x)=8x, what is h(-5)? do not include \h(-5)=\ in your answer. for example, if you found h(-5)=

Explanation:

Step1: Find the function h(x)

$h(x)=f(x)-g(x)=9x^{2}-8x$

Step2: Differentiate h(x)

Using the power - rule $\frac{d}{dx}(ax^{n})=nax^{n - 1}$, we have $h'(x)=\frac{d}{dx}(9x^{2}-8x)=18x - 8$

Step3: Evaluate h'(-5)

Substitute $x = - 5$ into $h'(x)$: $h'(-5)=18\times(-5)-8=-90 - 8=-98$

Answer:

-98