Question

Evaluate g (f(-1)) for f(z)=7-2z² and g(x) = 2x - 10.
g(f(-1))=

Answer 1

So, g(f(-1)) = 0.

Explanation:

To evaluate g(f(-1)), you need to first find the value of f(-1) and then substitute it into the function g(x). Here's how you do it step by step:

Start with the function f(z) = 7 - 2z².

Calculate f(-1) by substituting -1 for z in the function:

f(-1) = 7 - 2(-1)²

f(-1) = 7 - 2(1)

f(-1) = 7 - 2

f(-1) = 5

Now, you have found that f(-1) = 5.

Next, use this value in the function g(x) = 2x - 10:

g(f(-1)) = 2 * f(-1) - 10

g(5) = 2 * 5 - 10

g(5) = 10 - 10

g(5) = 0

So, g(f(-1)) = 0.