I need help! 50 points + brainliest 1 - Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.

x = ±3
x = 3
x = -3
x = ±9

2 - Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.

h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)

Part 1)

A

Part 2)

C

Step-by-step explanation:

1)

We are given:

And that:

And we want to now for which values of x is h(x) undefined.

So, by substitution:

Remember that for rational functions, the function will be undefined if and only if the denominator is 0.

This is because we cannot divide by 0.

So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:

Add 9 to both sides:

Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:

So, h(x) is undefined for ±3.

Our answer is A.

2)

We are given:

And we want to find:

So:

Distribute:

Combine like terms:

Rewrite:

Factor out:

So, our answer is C.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.