Let f(x) = 5x - 4 and g(x) = x^2- 1. Find (g•f)(0).

Question

asked Jan 28, 2021 74.5k views

1 Answer

Akostha · Answer 1 · 2021-02-02T16:53:47+0000

Answer:

$(g\cdot f)(0)=4$

Explanation:

So we have the two functions:

$f(x)=5x-4\text{ and } g(x)=x^2-1$

And we want to find:

$(g\cdot f)(0)$

This is the same as:

$=g(0)\cdot f(0)$

So, find g(0) and f(0):

g(0):

Substitute 0 into g(x):

g(0)=(0)^2-1

Square:

g(0)=0-1

Subtract:

g(0)=-1

And f(0):

Substitute 0 into f(x):

f(0)=5(0)-4

Multiply:

f(0)=0-4

Subtract:

f(0)=-4

So, our equation is now:

$(g\cdot f)(0)=g(0)\cdot f(0)=(-1)\cdot(-4)$

Multiply:

So, our answer is 4.

And we're done!