Question

find ( h(f(0)) ) in simplified form.

( f(x) ) is a graph (parabola), ( h(x) = -3x + 5 ), and there is a table for ( g(x) ) with ( x ) values -9, 2, 7, 10, 6 and corresponding ( g(x) ) values 10, 3, -5, -3, -7.

Explanation:

Step1: Find f(0) from the graph

From the graph, when $x=0$, $f(0)=-4$.

Step2: Substitute f(0) into h(x)

Substitute $x = f(0) = -4$ into $h(x) = -3x + 5$:
$$h(-4) = -3(-4) + 5$$

Step3: Calculate the final value

$$h(-4) = 12 + 5 = 17$$

Answer:

17