Given 

f(x)=x2−1*f*(*x*)=*x*2−1

, 

g(x)=2x−3*g*(*x*)=2*x*−3

, and 

h(x)=1−4x*h*(*x*)=1−4*x*

, perform the function operation 

(f+h)(1)(*f*+*h*)(1)

.

To solve \((f + h)(1)\), we first need to evaluate the functions \(f(x)\) and \(h(x)\) at \(x = 1\), and then add the results.

### Step 1: Evaluate \(f(1)\)

Given \(f(x) = x^2 - 1\):
\[
f(1) = (1)^2 - 1 = 1 - 1 = 0
\]

### Step 2: Evaluate \(h(1)\)

Given \(h(x) = 1 - 4x\):
\[
h(1) = 1 - 4(1) = 1 - 4 = -3
\]

### Step 3: Add \(f(1)\) and \(h(1)\)

Now, compute \((f + h)(1)\):
\[
(f + h)(1) = f(1) + h(1) = 0 + (-3) = -3
\]

Thus, \((f + h)(1) = -3\).

Would you like any more details or have any questions?

Here are 5 related questions:
1. What is \((f - h)(2)\)?
2. How do you find the composition of functions \(f \circ h\) at \(x = 1\)?
3. What is \((g + h)(0)\)?
4. Can you compute the derivative of \(f(x)\) or \(h(x)\)?
5. What is \((f \times g)(2)\)?

**Tip:** When performing operations with functions, always evaluate each function individually before applying the operation.

Given f(x)=x^2−1, g(x)=2x−3, and h(x)=1−4x, perform the function operation (f+h)(1).

Learn how to solve the function operation (f + h)(1) by evaluating f(x) = x^2 - 1 and h(x) = 1 - 4x at x = 1. This problem covers algebraic concepts like function addition and evaluating functions. Suitable for students in Grades 8-10.

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