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2 years ago

Solve for x. X +5 4x + 15 x = [?]

Mathematics

1 answer:

Darina [25.2K]2 years ago

8 0

Answer:

The answer is 70x

Step-by-step explanation:

simplify step-by-step.

x+54x+15x

Combine Like Terms:

=x+54x+15x

=(x+54x+15x)

=70x

Answer:

=70x

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Six more than eight times a number equals thirty. what is that number?

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6 + 8x = 30
Problem written out
8x = 24
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x = 3
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Marco needs to buy some cat food. At the nearest store, 6 bags of cat food cost $28.50. How much would Marco spend on 5 bags o

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Find the f^-1(x) and it’s domain

borishaifa [10]

Answer:

$f^{-1}(x) = (x + 8)^2$

$x \ge -8$

Step-by-step explanation:

Given

$f(x) = \sqrt x - 8$

Solving (a): $f^{-1}(x)$

We have:

$f(x) = \sqrt x - 8$

Express f(x) as y

$y = \sqrt x - 8$

Swap x and y

$x = \sqrt y - 8$

Add 8 to $both\ sides$

$x + 8 = \sqrt y - 8 + 8$

$x + 8 = \sqrt y$

Square both sides

$(x + 8)^2 = y$

Rewrite as:

$y = (x + 8)^2$

Express y as: $f^{-1}(x)$

$f^{-1}(x) = (x + 8)^2$

To determine the domain, we have:

The original function is $f(x) = \sqrt x - 8$

The range of this is: $f(x) \ge -8$

The $domain$ of the $inverse$ function is the $range$ of the $original$ function.

<em>Hence, the domain is:</em>

$x \ge -8$

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3 years ago