Question

Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)

Answer 1

Answer:

The answer is 25

Step-by-step explanation:

f(x) = 3x - 2

h(x) = - 2x² + 3x - 6

First to find f(7/3) substitute the value of x that's 7/3 into f (x)

That's

$f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \:$

To find h(-2) substitute the value of x that's - 2 into h(x)

We have

$h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \:$

So we have

$f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20$

We have the final answer as

25

Hope this helps you