3 years ago

Which function is the inverse of ſx) - 2x+ 3?

Mathematics

1 answer:

Sonbull [250]3 years ago

5 0

If $f^{-1}(x)$ is the inverse of $f(x)$ , then

$f\left(f^{-1}(x)\right) = x$

which means

$2f^{-1}(x)+3 = x$

Solve for $f^{-1}(x)$ :

$2f^{-1}(x) + 3 = x \\\\ 2f^{-1}(x) = x - 3 \\\\ f^{-1}(x) = \dfrac{x-3}2 = \boxed{\dfrac12x-\dfrac32}$

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Matt reasoned that he can write 9/1,000 as 0.9. Is he correct? Explain your answer.

GuDViN [60]

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4 years ago

Solve each equation by graphing the related function. If th equation has no real number solution, write no solution. X^2 + 7 = 0

Brrunno [24]

Answer:
The equation x² + 7 = 0 has no solution

Explanation:
1- using graph:
To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions

2- using algebra:
To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions

Hope this helps :)