Question

H(x)=[-3x for x<2] 4x+1 for x>=2

g(x)={x²+2 for x<3] x³ for x>=3 What is the value of 3h(2)+4g(1) ?

Answer 1

To find the value of 3h(2) + 4g(1), plug in the values of h(2) and g(1) and apply the given expressions.

Step-by-step explanation:

To find the value of 3h(2) + 4g(1), we need to evaluate h(2) and g(1) first. For h(2), since 2 is greater than or equal to 2, we use the expression 4x + 1. Plugging in x = 2, we get 4(2) + 1 = 9. For g(1), since 1 is less than 3, we use the expression x² + 2.

Plugging in x = 1, we get 1² + 2 = 3.

Now, we can substitute these values back into the original expression:

3h(2) + 4g(1) = 3(9) + 4(3) = 27 + 12 = 39.