CPM Homework Help : APCALC Problem 3-179

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Home > APCALC > Chapter 3 > Lesson 3.4.3 > Problem 3-179

3-179.

For each function below, solve for $x$ .

$y = -10x + 8$
Step 1(a):
Subtract $8$ from both sides.
Step 2(a):
Divide both sides by $–10$ .
Answer (a):
$x=\frac{y-8}{-10}$

$y = (x + 4)^2$
Hint (b):
Do not forget the $±$ when taking the square root of both sides.

$y = x^3 + 2$
Hint (c):
You will need to take the cube root to undo the cube. But, get $x^3$ by itself first.

$y=3\sin(x)$
Hint (d):
To undo the sine function, you will need to use the inverse sine function.

Assuming that no domains are restricted, which of the functions above has an inverse that is also a function? Give a reason for your answer.
Hint (e):
Think about the graph of each $x =$ equation. Will it pass the vertical line test?

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