Question

A function is defined by mc014-1.jpg. What is f(–1)?

Answer 1

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Step-by-step explanation:

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abiramiragu

Secondary SchoolMath 5+3 pts

Which function is the inverse of f(x) = –5x – 4? mc014-1.jpg mc014-2.jpg f-1(x) = –4x + 5 f-1(x) = 4x + 4

Report by 000907166 11.12.2018

Answers

Paulaiskander2 Ambitious

Answer:

f^{-1}(x)=\frac{-(x+4)}{5}

Step-by-step explanation:

f(x)=-5x-4

In order to find the inverse function, first we have to switch the x and the f(x) with each other.

x=-5f(x)-4\\

Now, solve for f(x):

x+4=-5f(x)\\f(x)=\frac{-(x+4)}{5}

Therefore, the inverse function is: f^{-1}(x)=\frac{-(x+4)}{5}

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abhi178

Abhi178 The Sage

inverse function is the reversal function of another function. if f(x) is function in such that f:\mathbb{X}\rightarrow\mathbb{Y}

then, f^{-1}(x) is inverse of it such that f:\mathbb{Y}\rightarrow\mathbb{X}

now, come to the question,

function is given, f(x) = -5x - 4

or, y = f(x) = -5x - 4

or, y + 4 = -5x

or, -x = 1/5( y + 4)

or, x = -(y + 4)/5

hence, f^{-1}(x)=-\frac{x+4}{5} is inverse function of given function.