Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx

Mathematics

2 answers:

aalyn [17]3 years ago

8 0

Answer:

$\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}$

Step-by-step explanation:

$f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x$

morpeh [17]3 years ago

4 0

Answer: D. h[x]=1/4x

Step-by-step explanation:

f(x) = 4x or y = 4x

Its inverse is obtained by switching the variables and solving for y.

x = 4y

y = (1/4)x

You might be interested in

In 12 seconds, Valerie counts 6 vehicles passing by her house. At that rate, how many vehicles would pass by in 4 hours

mart [117]

60/12
30 * 4 = 110 cars

5 0

3 years ago

I can't seem to figure this out

antiseptic1488 [7]

Answer:

c. 4

Step-by-step explanation:

tan (30)/1 = x/7 *cross multiply*

x = 7 (tan(30))

x = 4.04

x = 4

6 0

2 years ago

Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

kompoz [17]

Answer:

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.