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Orlov [11]
3 years ago
15

What is the inverse of the function f(x) = 2x – 10?

Mathematics
2 answers:
Lana71 [14]3 years ago
7 0

Answer:

h(x)=\dfrac{x}{2}+5

Step-by-step explanation:

You are given the function f(x)=2x-10. To find the inverse function f^{-1}(x) do such steps:

1. Rewrite the function f(x) as

y=2x-10

2. Express x in terms of y:

y+10=2x\\ \\x=\dfrac{y}{2}+5

3. Change x into y and y into x:

y=\dfrac{x}{2}+5

Now, the inverse function is

f^{-1}(x)=\dfrac{x}{2}+5

Trava [24]3 years ago
6 0

Answer:

Option D.

Step-by-step explanation:

The given function is

f(x)=2x-10

We need to find the inverse of the function f(x).

Step 1 : Substitute f(x)=y.

y=2x-10

Step 2: Interchange x and y.

x=2y-10

Step 3: Isolate variable y.

x+10=2y

\frac{x+10}{2}=y

\frac{x}{2}+\frac{10}{2}=y

\frac{x}{2}+5=y

y=\frac{x}{2}+5

Step 4: Substitute y=h(x).

h(x)=\frac{1}{2}x+5

The inverse of the function f(x) is h(x)=\frac{1}{2}x+5.

Therefore, the correct option is D.

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